FYI, with your allocated budget for an air bottle - you're pretty much restricting yourself to 48/3000psi steelies.
Better to up the budget a bit and look for a cheap 68/4500psi fibre-wrapped variant instead. It's a (better) future-proof investment and will serve you well in both tournies and woodsball. 48/3000psi bottles are too cumbersome for tournies but are ok for woodsball.