A friend gave me a 'mini' fridge like you mention here, but alas, it's just a bit too small to fit the LBK into. However, it will easily fit at least four of my 32oz bottles in it. That's a full gallon of cold beer - while the remaining gallon continues to condition even longer. Might keep me from drinking the beer too fast...
oYou can do this and probably it would help me a bit too but I am lazy, I find that after 3 weeks the trub settles out so well that even level, I usually get all out except maybe just a very little after the LBK is tilted. So I do not bother cold crashing or tilting.
If you want clear beer for competition, you should do both of these. Mine comes clear enough for me after standing in basement a month or a few. You can check my beer pics to see if it is over cloudy.
Also so many commercial beers are hazy these days, one can always claim to others it is intentional - 😁