Maybe this is not the best Forum for what you ask.
1) what you ask is based on taste or opinion which leads to endless discussions, we are more into the practical end.
More often than not based on feet on the ground tech or experience based solutions instead.
2) there are lots of Forums with hundreds or thousands of members who will happily argue for years on tube lettering, cap colour, Mojo, "who-uses-it" and all that jazz.
Many of them have bought and sold dozens of amps, heads, cabinets, guitars, pedals, and have an opinion on them,
That many are mutually contradictory is part of the game.
3) you bought a hat first, and now are searching for somebody with a head to fit.
You bought a **killer** (no doubt about that) but quirky and very specialized cabinet:
a) it is 16 ohm only. Can not be switched to 4 ohm like the standard 1960 which is a far more useful impedance.
That alone forces you to use a tube head ... and even so, not any , but one which has a 16 ohm tap or is straight 16 ohm only, an even rarer breed.
SS heads can happily drive 16 ohm cabinets any day of the week ... but at a heavy penalty of power loss because of mismatched impedance.
Most common SS amps put out around 60W into 8 ohm and/or 100W into 4 ohm ... both will put out around 30W into 16 ohm ... "too much cabinet for too little driving power".
b) So most probable scenario for your expensive cabinet is using it mismatched into your tube heads (Bassman and Twin are 4 ohm out) or as an extension, or straight as a low power extension cabinet for the Katana ... plus your JC120 is Stereo, not sure how you can connect a single, mono , mismatched impedance cabinet to it.
Your AC30 is the only one really matching it, and as a main cabinet, not extension.
c) IF you had bought the regular 1960, situation would be very different:
* it is mono/stereo, with a multi impedance back panel
* can be used (just flipping 2 switches) as: Mono 16 ohm (same as yours and meant for British style Tube heads) ; Mono 4 ohm (practically anything else), ; stereo 2 x 8 ohm which nicely fits your JC120 , either as extension or main speakers.
d) so I suggest you ask at some Tubeheads-only Forum instead, lots of them all over the place.
And chock filled with *opinion*
e) so you do not feel you are leaving empty handed: *the* head for your cabinet is a 50 or 100W Plexi or classic JCM800.