162gr Amax, Re25 (my prefered choice) or Retumbo or H1000, Fed 215M, Lee collet neck sized fireformed brass (Rem or win). Have fun.
Just keep an eye on barrel heat so you don't loose accuracy due to barrel warping. Have the action bedded properly. Free float the barrel with lots of room around the stock. Put a muzzle brake on - I like the Micaluk AR15 variety. Just open up the exit port and they work superbly for little money. Brake should cost around $65 and $50 for install.
The smallest groups shot recently at the 1000m fun shoot in Osoyoos were with 7RM Tikkas. 3rds a bit over 3" and 4" by two shooters on different days. 180gr Bergers were used but not sure of the powder.
My smallest group was with a Kreiger barreled Stevens and 162gr Amax using Re 25 as above. 2 9/16" 3 rds. Yes, I would say it has potential as a cartridge. Not sure what your rifle might do but would expect around MOA/sub MOA.
If you ever want to build a real tack driver, contact Guntech. His 7RM reamer is the best I have seen and keeps growth around the belt to a min.
Jerry