With the sensitivity of JBLs you can use whatever you want except for SETs flea watt amps. But really very little I mean than 25-50WPC int. amps and receivers should be OK.. Did you specifically say SS no tube or just an Integrated.
I will assume SS.
Old school Macs that have been well kept. There was one model the MC2105 that was made for a dozen years that you can find in tour range. They are usually underated at 105 W and bench higher like most Macs. The downside is the bang and sizzle. It favors the dynamics over the details and stage.
The Plinius 8200 might be lurking around for that and the Classe that is about 7 years old now are two more.
I owned a A308 Musical Fidelity and at 150 watts and current out the yazoo has muscular drive. It is a good choice for clean sound. It was a little too stark at times for my analytical speakers.
If you wants gobs of power the Aragon 8008 will do the trick. I had Palladiums at 400 WPC suposedly in class A up to 125 watts, They will drive very low sensivity speakers well but didn't sound like they were in class A ever. Further they run a little out of your price range and require a preamp.
I found that what finally made me really happy, was an all tube set up with adequate power. That's a different ball of wax.