I have not had to alter the feed lips on Rem 700's with 6/250 AI's and 22/250 AI's, nor Ruger 77 Tang safety.
I shoot a 250 AI, my only custom build. I would think a 6mm-250 Ackley Improved would be intriguing for your 1000 yds.I use WW 22-250 cases that I "upsize" to 6mm in 2-3 passes ( I use progressively larger expanders till I get to the correct neck size).
Im real happy with the gun and the 6mm250. I wanted something that was smaller than the .308 ( had been shooting Palma at the time I began looking for "something else") yet had more horsepower than the .223 out to 1k.
The availability of heavy 6mm bullets was a big plus. I use SMK107s, molied.
Recoil is very "pleasant".
Downside is finding affordable 22-250 cases. Ive had "issues" with the WW cases that I purchased maybe 10 years or so