Nope, big muffs are distortion pedals, technically, if you look at the circuit. It also sounds like a distortion pedal more than a fuzz, unless you bring up the sustain control. There are certainly fuzzy sounds to be had.
Blackstar HT-5 would be more than loud enough, at 5 watts, for bedroom practice.
Also, why the #### do you want a stack? 😕😕😕
A head and 212 isn't what I'd consider a stack, but that is a far better idea than getting a 212 combo, so go ahead with that. Just avoid the JVM...