if you want meat, get a meat rabbit. mini rex are small and have poor meat percentage (meaning in comparison to other breeds the amount of meat you get for the carcass size is much less,) and what you do get is again, tiny. they're also a dwarf breed, so unless you're careful about how you breed them (true dwarf to false dwarf only,) you'll lose a third of your litters every time as peanuts. if you get a mini rex buck and a meat doe, none of the kits will have rex coats, which makes it pointless if you were wanting that texture pelt. if you want rex fur AND meat, i would go for standard rex, but they won't grow as fast as a "normal" meat rabbit. not saying mini rex aren't fine rabbits, i just wouldn't consider them a good choice for meat production ;p
new zealand and californians are going to be the best, really. californians are smaller and have excellent meat to bone ration and will reach butcher weight within 12 weeks if not sooner depending on what you feed them. new zealands are bigger but they actually come in a variety of colours, so don't discount them as not being interesting. i would get a solid buck and a broken doe of two different colours so you'll get a mix of colours and broken/solid patterns in your litters to keep it fun. cali/nz crosses are particularly great growers, but if you breed the offspring you lose the hybrid vigor.
you could also just find someone who has quick-growing meat mutts - they don't need to be purebred if you just want to eat them. mutts have a variable breed history so you can end up with really interesting coat colours and patterns. this is actually the route i took - i found that a college in my state breeds a meat mutt that produces a huge variety of coat colours specially designed for home meat production. they grow really quickly, are very friendly, and every litter is a rainbow so it stays interesting. i absolutely love them.