So... When you replaced the TIP122 or 102 did you check the upstream 2N4401 transistor? They sort of work in pairs. A bad 2n4401 can stress the TIP 122/102. It is generally recommended to replace both when one fails. Further upstream is U45 (7402 chip). May be coincidental but both the left kicker (Q75) and your pop bumper (Q69) are driven by the same U45 chip. Now with all that said, I would be looking for something simpler....since it worked before, albeit weak...then you rebuilt it and now it doesn't work.... Using your DMM with the machine off, see if there is continuity to ground on the coil lug with the single wire. Note that it everything was working, with the game on, you could momentarily short this lug to ground and the coil would fire. If the wire is already grounded, then the coil will fire and stay locked on. If you have continuity to ground, go into the back box and remove plug J19 from the CPU and then check again for continuity from the single wire lug to ground. If you still have continuity to ground then you have a short somewhere other than the CPU and likely right there at the pop bumper.
If there is no continuity to ground on the single wire lug with the machine off and plug J19 removed, then the problem is likely on the CPU. In this case I would replace the TIP 102/122, the corresponding 2N4401 and the 7402 chip at U45. Even further upstream from the U45 is the PIA at U54...that's about as far as this stream goes. Any of these could cause the problem if it is on the CPU. If you do determine that the problem is on the CPU and replace the 2 transistors and the 7402 at U45, you could also then swap U54 with another 6821 on the board (maybe U9)
I am certainly no expert at this stuff and have spent the last 6-7 years just figuring out these bugs. If I'm off base, would appreciate others to chime in.