RE: Caribou Hunt Wanted
Cheapest caribou hunt you will likely find is a Quebec winter caribou hunt.
In Quebec, non-residents must use the services of an outfitter to hunt caribou. That basically means go through an outfitter. These are by no means guided hunts and they don't need to be. You can do this unguided. A Nouchimi outpost camp is likely the cheapest venue, but you get what you pay for. I seriously doubt you will come close to your $1000 budget. I heard today from my partners in Michigan that Mirage hunts were up to $1800pp. You may concider the later season hunts in January and February, they are much cheaper, but these are strickly meat hunts (no racks).
As suggested, read through the Quebec winter caribou thread and you will find over 160 pages of valuble information.