It sounds like you’ve nearly duplicated the specs on an Omio X8 (2.2 kW watercooled spindle, 565x770/22x30 bed, “high speed”, cuts aluminum), however, you are expecting to get it for less than half of the Omio cost ($2800+about $500 shipping).
The Omio is already an insanely good value in that spec class. Taking another 55% out of that price is not going to happen for a new machine with that power and size.
The only possibility with your spec and budget constraints is finding something used that the owner is willing to give away for a song and also take a purchase order for.
Going for smaller (6040), lower power, and less rigid machines might get you into the $1500 range new and shipped, but you’d need to make sure that kind of machine comes with software (usually Mach3) to run it and then you’ll probably also need a computer to run it, a mister, a compressor to run the mister, and a variety of mills and collets.
Chances are good that a lower-spec machine will not really meet FRC needs and you’ll be looking to purchase your second machine not long after the first having already burned the funds on the first.
The team would likely be better off overall if you combined budgets over multiple years and bought something like an Omio X8 the first time, even if it doesn’t happen until later.