2 grand is a bit of a low ball number but it is workable. On that budget you are looking at a factory rifle were it me I'd try to find something in 300 WSM
but any of the 300 mags will do. Then take the rest of your money and put into a quality rangefinder and ammo.
Also you stated you were set with a scope. What is? I'm not trying to insult your scope with this question but this is an essential piece of kit. A scope for said purpose has to have quality glass and track perfectly. After all you can't hit what you can't see and tracking is essential because hold overs work well until you change environments.
On your handloads there are many bullets that work for this application. The two I like the most are the 210 grain bergers and 200 grain accubonds. Also since more then likely you will be looking a factory rifle I'd go ahead and pick up some of the Tubb Final Finish bullets. Factory tubes tend to be rough and the tubb bullet help to smooth them out.
And one last thing. Go ahead and start looking for that second job
This gets to be addicting and before you know it you will be wanting to build that custom 375 allen magnum and shoot stuff far beyond a 1000 yards. Then you'll be looking around the house trying to figure out how much stuff is worth (like the dog and your wifes car) so you can pawn it off and raise so money.