Examples of solid state amps with Archtop Jazz Guitars - The Gear Page
Here's a great source for youtube clips
Honestly almost no amps are made for archtops - blackface not certainly but also almost every other amp is made with solid body single coils in mind. I usually get too much bass (which is necessary with teles and strats) and too harsh treble (which blues, country and rock players like) with most amps I play.
Of course Henriksen or AI are made to jazz players but they tend to sound more like PAs than guitar amps to me - which lots of players love of course.
Changing a blackface to suit archtops better it's a question of trial and error I guess - cheap and easy. Vintage Sound Amps has some jazz models that are only a blackface with a different tone stack.
My Bandit 65 and Fender M80 were not made with my archtop in my mind also and despite they already sound very good I will probably work their tone stack to have a more usable range with the tone controls.