A 1,000 yd rifle on the cheap. OK here you go, choice of action is simple a used Savage 110 the action is as strong as anything in the buisness and with it's barrel nut design and floating bolt face there simply is not a better set up to start with. $175 at the local pawn shop.
For caliber I would choose somthing very fast with very high BC, 7mm rem mag, 270 WSM, 7mm WSM, 6.5-284, 243 WSSM, 300 Win mag. I would probably perfer one of the short actions because their microscopic advantage make a visiable difference at 1,000 It all depends on what I am hitting at 1,000 yards
Optics Millett or Mueller target scopes in the range of 25-32 power. The 6-25x56 with 1/10 MOA adjustments is about as accurate as anything out there for only $450 if I was trying to do this on the super cheap though the Mueller Eraticator 8.5-25x 50m is right around $200
For the barrel a long and thick Shilen is a solid choice for $300
For triggers a good Timney is a worthwhile investment of $125
For a stock I would have to go with the Choate Ultimate Sniper stock if I were on a tight budget. under $200
There you have it a super 1,000yd rifle for right around $1,000. Whie this is will probably not win you any gold medals it will win you plenty of bets/free lunches if your hunting buddy is the betting type