I went through something similar: Had a tube integrated amp with 8 KT88 power tubes. Sounded great but the room would get toasty. I switched to a SS integrated out of curiosity and to address the heat issue. Enjoyed it for about 3 months but ended up having a Joni Mitchell - Big Yellow Taxi moment: "you don't know what you've got till it's gone".
I replaced the SS integrated with a KT120 power tube integrated amp (same WPC as the previous KT88 amp) but with fewer tubes (4 only) and less heat. If you love the tube sound and the glow at night I strongly suggest sticking to it. Some things are worth the hassle and inconvenience. Octave (70 WPC) and Qualiton (100 WPC) both use 4 KT120 or KT150 tubes which generate less heat and both sound awesome.