Take some advice from somebody who designed power supplies for 25 years: when you need 600W ballpark, you REALLY do not want to try to do it with a 60 Hz transformer design. A single phase Xformer has a power factor of about 0.6, which means to deliver 600W you need more than 1000 V-A transformer (actually probably 30% more than that because of efficiency losses). That transformer will be the size of a bowling ball. You'll need large, expensive stud mount shottky diodes for rectifiers because the power dissipation in them will exceed 100W. You'll need a massive heatsink and maybe a fan. Those components alone will probably cost several hundred bucks or more.
If I needed 12V @ 50A, I would run the net for a used lab supply (like we used to sell from Power Ten) that has a switching converter in it. It will be small and light and be short circuit and overload protected.
Just some free advice.