I was thinking of a simple , solid state Tesla Coil. It would use a TRIAC in series with the 110/220 volt line. The output would go to the Tesla coil primary and capacitor. the TRIAC would be controlled by a lamp dimmer to only produce short "spikes". These spikes, by necessity, would be on the very trailing edge of the AC input waveform. ( If at any other point of wave form, it would produce a long turn-on that would draw too much current, for one thing, and probably not allow sufficient time for resonance.) These would "strike" the LC coil, resonating it. There would be LC protection circuit filters on output of TRIAC to protect it, of course, and on input to filter out "hash". Probably cap needs to be in series to prevent excess current draw, especially while tuning, or excess RF to TRIAC.
Advantages: Much lower voltage Capacitor needed in Primary. Currents would be higher, so Q might have to be increased, but secondary could be same as used in another design. Just swap primaries.. . If you didn't want to experiment with an expensive silver mica transmitting cap, a cheaper lower voltage Mylar could be substituted. No points. No expensive, exotic MOSFETS, though. Only One solid state device probably needed, not 4. Simple circuit. No heavy step-up transformer of Any sort. Would run straight on AC rather than require rectifiers like HexFet coils.
Disadvantages: TRIAC have to take a lot of hi voltage hi current spikes out of phase of voltage. Might be expensive--maybe not be surplus. Definitely use a circuit breaker or current limit choke (Variac in series?) on input to test it! Also, little/no isolation from line (But, some SS designs have little, anyway.). Ground very necessary.
EDIT: Some microwave ovens use a hefty Triac. 25 A at 400 PIV. I got one for $4.25, surplus, plus shipping, on ebay. Lotsa scrapped 'mikes around, too!

I'll post a schematic when I can scan/store it (Not Very Soon!. ) TRIAC may need some high voltage divider circuit/Darlington to give it enough voltage to be sure of turn-on.
"Don't look for any sense to life, you will only Find futility."--DFS