Welcome Mark.

Tricky question, at the prices you have quoted plus what you want to do it's borderline whether you waste your money or not.

Lets look at this logically and put 2k on the table and explore 3 options, what can you buy already done for 2K ?

There is the KX1 from Arc at just over that and Lester Caine does a Taig conversion for somewhere around that price.

Both may not have the Y axis travel you want for sprockets.

Second option is buy secondhand or a dead CNC.
Secondhand I can't follow thru as too many unknowns, what is it, who did it, what's inside it etc.
Dead CNC's seem to be limited to Denford Triacs and the later Supermax [ very rare ] and Bridgeport BOSS's.
The Triac is still a small mill so Y axis limitations may apply.
The BOSS is large as Robin has said but when converted they can be switched to single phase. One of these is a machine for life but remember at 21 you have probably got a bit of moving to do and that means carting this beast about.

Do a bit of homework first, plus side is many people take pity on a youngster who's interested in all this stuff and you are probably in the best city in the world for finding this gear. Is Riley's still going in the south of the city?
I have had some good deals there over the years

John S. local to you M1 J25.