Guess I'm on the other end of the spectrum when it comes to case capacity in the 7mm bore. The largest case I'd personally consider would be the good old 7mm Rem Mag, but I'd be much more likely to go with a straight 284. I've got three of these, along with another LR rig in 280AI, and have had good results with 180 Hybrids & VLDs out to 1400yds with the 284s.
I built the 280AI as a test to see if the extra 6grs of case capacity over the 284 would give measurably higher velocities. Used a Krieger 5R in hvy Palma contour, finished at 30", on a new LA M700 that I'd trued, and bedded the bbl'd action into a McM A5 with cheekpiece mod done by stockdoc and PTG Stealth DBM. After a fair amount of testing with H4831, 4831SC, & IMR7828SSC, I've yet to find loads that would give substantially higher velocities than what I get out of 28" & 30" 284s. Although the 280AI's accuracy is good, all three of the 284s have a slight advantage in that respect, as well as being more consistently accurate than the 280AI. Got enough time & money invested in the 280AI to keep me interested in shooting it, but will likely shorten the bbl to 26" to make it a bit less awkward to handle.
Descriptions of the rifles in the attached photo: Top is a LR prone target rifle built around a BAT 3LL w/30" Krieger hvy Palma in a Robertson H&H stock in their 'Vermont granite' color scheme. Next is the 280AI as described above. 3rd is the 1st 284 I built, with another LA M700, 28" PacNor 3-groove in a custom HV contour, McM A5 w/BO M5 DBM. 4th is the DTA SRS with 28" Bartlein DTA blank that I chambered for 284.
ETA: The only 'clean' score (200-8x) I've yet shot in a 20rd match at 1000yds was with the M700 284 in the McM A5 stock; I had the other bbl for it on the rifle at the time, which is a 30" Bartlein hvy Palma. Was shooting Berger 180 VLDs with H4831 in a load that was running right at 2800fps. That was out at the CRC's range near Byers, Co. back in July of '07 when they were still running LR weekends with a 3x600 any/any on Sat, followed by a 3x1000 any/any on Sun.