"By the way, I used to live in..." yes, that's not too far from home. I pass it everyday on the HOV going to/from work (DC). As for the coils... if the coils are breaking down, it been my experience that they'll fail when warm-hot. But, again, it sounds like a gas problem to me. If the plugs don't show fouling, that's generally a good indicator that the spark side is working (not definitive, but a darn good indicator... plugs can tell you a lot). Check fuel flow, pull the line off the carb and drop it in a bucket, turn on the tap and watch. If it goes, then check for the little secondary filter in the t-between the pipes. Unless there's a big red arrow pointing at sparks, I'd exhaust all the gas potentials before ripping electrics out (but then, I never was good at avionics, you know how crew chiefs are).
Yes, I crewed Slicks for many years, life Quad-A member, my SPH4 is hanging up at home. You still AV8-ing?