I'll ballpark an estimate for a high density colo facility. I could get an exact quote if anyone wanted to be certain.

$5k/rack for 20kW non redundant power - that would get you 10X4U miners per rack. You'd need 100 racks to get to 1000 miners or around $500K/month in cost. The good news is that I'd wager that it could be done in 30 days or less. The bad news is that it would require a minimal commitment of 1 year and I'm not sure that those prices would be valid for anything less than a 3 year commit.