Just be patient. Great deals on used 375's happen frequently on many forums. Unless you think you're going to hunt a lot of buffalo, or other DG, save your money and go used and maybe something that'll hold value so you can sell it afterwards if you're only going once.

You could also save money going with the 375 Ruger, usually. Heck most any standard magnum could be re-bored to 375 Ruger. Find a 7mm Rem ir something in the 4-500 range, send it to JES and $225 later you'll have your 375. But it wouldn't be out of the ordinary to find a 375R for 6-700 either