I'm battling the same problem with my LW3 as you have right now. R16 has fried a couple times on me, and also Q4. It runs the shooter coil, and I've read that if you replace this transistor and resistor, but don't replace the diode on the coil, the transistor will keep frying. So, I'm going to replace my burnt resistor (again), and my Q4 is still fine this time but I'm replacing the diode on the shooter coil as well. I've replaced the diode on the coil before too, just maybe not the last time I replaced the resistor/transistor, and it's funny but it has worked for a long time till now with no problems. The voltage at my coil is 70v, seems normal, so I'm just hoping that this time it'll stay working, not sure what else could be causing it.
*Edit: I stand corrected, Q4 was blown this time as well. Luckily I have the parts on hand, so replacing all including coil diode, hopefully this repair lasts...
Final Edit: I replaced said parts and fired the shooter a whole bunch of times, then felt the resistor and Q4 to see if they were warming up, and both were nice and cool. Maybe I got it this time? Good luck with yours, I'll be watching to see if you get it fixed.