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You can checkout Nuphy. They have a number of relatively affordable options that support QMK/VIA and they have put a good amount of thought on reducing noise. The Air60 V2 may fit your needs though it is a low profile keyboard.
The Halo65 is also another option if you want high profile. It is not currently QMK/VIA compatible though but the V2 should be when that ends up getting released.
Not surprised, my basement is 58-64F (~14-18C) year round, no matter how hot or cold it is outside.