All tube amps make heat so not sure if reducing it by 25% is going to make that much difference. also at your budget your definitely into used/vintage if you want something good that will last.
Also your SET makes a lot of heat but anything with with a push pull configuration will make similar heat. The more tubes an amp has the more heat. I’d look for a SS rectified SET to eliminate another large heat source.
That said I spotted a vintage Luxman Tube amp in my local vintage audio shop for $1500can$ so there are some nice used/vintage amps out there, it will just take time and or luck.