Not having preference points and drawing limits the number of places available.
Like others have said, Alberta, but $5,000 is probably the low end of those hunts. More like $5,000 to $7,000.
Landowner tags anywhere are going to drive the cost of the hunt up. A $3,000 landowner tag plus a $4,000 hunt and you are going to be at $7,000.
Ranching For Wildlife in Colorado might be an option. Some of those are $5,000 and they have tags. As mentioned before, CWMU in Utah have tags.
Ranching for Wildlife in Colorado and CWMU in Utah ranches might be $5,000 but some of them might be $10,000.