Wrong, wrong, wrong!

j/k
One thing I like to do is to test the transistors from the connector that plugs into the deflection board. This way you are testing the transistor, cable, and connector. If something is wrong you have to troubleshoot, but it is much easier to test this way. I have posted the pin by pin instructions a number of times, I will see if I can find them.
Ok, here they are.
You should unplug all of the chassis mount transistor cables form the deflection PCB and test them with a multi-meter set on the diode function. It is really easy to test them this way since you can just put the probe tips on the little bit of metal that you can see exposed on the side of the connector that attaches them to the PCB.
If you get any out of the ordinary readings, you will need to check the mounting of the transistor or swap them out.
NPN (2N3716) Test on connector at Pin positions 1, 3, 4 of J100, J600, J700
===========================================================================
Test #1
-------------------
Red -> Pin 3
Black -> Pin 4
Result: .45v to .9v
Test #2
-------------------
Red -> Pin 3
Black -> Pin 1
Result: .45v to .9v
Test #3
-------------------
Red -> Pin 4
Black -> Pin 3
Result: Open
Test #4
-------------------
Red -> Pin 1
Black -> Pin 3
Result: Open
Test #5
-------------------
Red -> Pin 1
Black -> Pin 4
Result: Open
Test #6
-------------------
Red -> Pin 4
Black -> Pin 1
Result: Open
PNP (2N3792) Test on connector at Pin positions 5, 6, 7 of J100, J600, J700
===========================================================================
Test #1
-------------------
Red -> Pin 6
Black -> Pin 5
Result: Open
Test #2
-------------------
Red -> Pin 6
Black -> Pin 7
Result: Open
Test #3
-------------------
Red -> Pin 5
Black -> Pin 6
Result: .45v to .9v
Test #4
-------------------
Red -> Pin 7
Black -> Pin 6
Result: .45v to .9v
Test #5
-------------------
Red -> Pin 7
Black -> Pin 5
Result: Open
Test #6
-------------------
Red -> Pin 5
Black -> Pin 7
Result: Open
Yes, put a very small dab of white goo (BB size or smaller) and smear it very thin on the transistor. Put the mica insulator on. Put another very small dab on the now installed mica and smear it all around. Grab a rag and rub off all of the old heat sink compound that is on the metal frame of the monitor....both sides. Should look nice and shiny. Place the transistor in the holes and place the socket over the pins. Carefully line up the brown socket "lugs" with the holes at each extreme end of the openings. Push the transistor and socket together so they are a snug fit. Install the screws and tighten snugly. Don't torque them down hard. Just snug and then a bit more.
Put your multimeter on continuity or "beep" test and touch the black probe to the frame and the red probe to each pin on the back of the socket and then the outside top of the transistor case. If you get a beep, you don't have the transistor installed properly because it is grounding out somewhere. The sockets frequently get the lugs mashed and the screws then make contact with the frame. The only thing you can do is order replacement sockets from Mouser.
The easiest way I have found to test the transistors is to do it when they are installed. I do this test before removing them and after as well. There are six different measurements you must take on the three soldered pins on the back of the socket. Set your multimeter on diode test/transistor test. These instructions are for a digital MM. Put the black probe on one pin (I start at the leftmost) and the red probe on the pin next to it. There should be a reading of 0 or .547 or something close to that (maybe .457...depends on your meter). Keep the black probe in place and move the red probe over one pin. Again 0 or .547. Now keep the red probe in place and move the black probe over to the pin the red probe first started out on. 0 or .547.
Whew, you are halfway done.
Now....put the red probe where the black probe originally started on and the black probe where the red probe started on. Read 0 or .547. Move the black probe over and read 0 or .547. Now move the red probe to the spot the black probe just left and read 0 or .547.
Right about now there are 60 guys screaming WRONG WRONG WRONG! and typing a post.
Now let me finish.
You should have 4 total readings of 0 and 2 readings of .547. If you have anything other than that, then the transistor is bad or you touched the probes to each other when you did the test. I have found that .001 is a frequent reading and that is for sure a sign the transistor is bad. You really don't care. As long as you have those readings you are good. (Assuming you have the transistors in their proper spots)
If you are sharp, you will notice that the readings between the 3716 and 3792 transistors are opposite each other.
To test the 4 transistors on the bottom of the frame, I put a towel under the face of the tube and tip it over so that I have access to the bottom. You are going to have to get there anyway to get the old comoound that oozed thru the holes 30 years ago off the frame anyway. I also have a rubber mat I put the tube on to protect it from damage but you could use foam rubber or cardboard. Just don't neck the tube. You can do this with the monitor in a Tempest without any difficulty as the 4 transistors are sticking right in your face and the other 2 are easily accessible. Finally.........You have to do it with the transistor's connectors disconnected from the Deflection board or you will get a wrong reading.
I have been hoping to make a video showing people how easy this is but just haven't had the time or a helper to hold the camera. Maybe soon.
Good luck.