Sounds about right. And the above part, probably isn't rated anywhere near enough pulse to be considered reliable, but yeah, same idea, who cares. In this case, they're oversized and under-volts, so, series combinations will do.
Inductor type doesn't matter based on given constraints (i.e., not enough of them!). Toroid has lower external field. Solenoid is easier to make, and, I don't know how Q compares. But Q isn't very interesting for pulsed operation anyway. DC current ratings are irrelevant (in contrast to arc starter application!). The surge network needs a lot of resistance already, so the relatively thin wire isn't a big deal (as long as it doesn't fuse, lol).
I was going to do a EFT generator, eventually. Figure C0G chip capacitors, SiC MOSFETs, and enough in parallel (about 8x) plus a transformer to match back to 50 ohms at enough voltage. Making a good enough quality TLT isn't going to be easy, but feels like the better option compared to a cascode switch.
Or just get a hydrogen thyratron and slam-dunk it that way.
Tim