Don't forget, Dennis and I both know where you live.

IOW, forget cheaping up that barrel with junk rings and use the ones that came with it.

This wil be your top dog barrel, now and always, so lets start off right by giving it the respect that it deserves pard.
Best scope that I ever found for my four 375JDJ barrels was the Tasco Pro Class 1.5-4X. They took thousands of rounds of 270 & 300 grain full house loads and never missed a beat. Hard scopes to find now, and with their 30mm tube won't work with your T'SOB rings anyway (which should be your first choice in rings for that barrel). Next best was the also discontinued Simmons Gold Medal 2-7. And the old model Burris pistol scopes were better made than they are today, so they stood up well. A 1" tube 1-4 powered scope will cover all your bases. The 1 or 1.5 is as good or better than open sights for close work... and 4X is more than enough power for farther than you'll ever shoot it. But one note to remember before you buy anything... with that full length vent rib no scope with a large objective bell is going to work using the T'SOB rings. The bell won't clear the rib as the rings are not high enough. Dennis had a Leupold 2X on it probably for that same reason. You might check into the Bushnell Elite 3200 2-6X32. Never owned one buy heard lots of good things about them. It'll probably clear the rib (measure to be sure). Few scopes are going to stand up to the barrel, so choose wisely instead of wasting your money on cheap.
OK, do we have you broke yet?

L.