I have used the slower IMR 7828 at 66.0*grs for 2900 fps with the Speer 160gr BTSP, but that gave blown patterns. I’ve throttled that back for a more accurate & shootable load.
Dupont Industries developed IMR-7828 specifically for the 7mm Rem Magnum prior to its introduction at Remington's request, and there is still no better suited single-based powder for the cartridge available today.
Those propellants that give significantly (or even any) MV increases over 7828 are either double-based types or involve 'high-energy' technology (infused nitroglycerin) with the various pitfalls that 'hot' versions of this type entail.
A final thought for the OP - you do know that the two 4831s (and 7828 for that matter) are Reach non compliant, so there won't be any more coming into the country? If you want a good H4831 load, you'll need to have enough on hand now to do load development then all expected subsequent use of the rifle.
The new Reach compliant IMR-4955 should be with us within 2018 which is very close to the 4831s and we already have IMR-7977.
According to Hodgdon data, IMR-4955 usually outperforms H4831 (in MV terms) by a small margin for 160, 162 and 175gn bullets, but lags behind maximum 7828 loads by around 20 fps. However, IMR-7977 beats the lot of them for velocities giving 162 fps higher MVs than H4831 with the 175gn Nosler Partition.
For the 162gn Hornady SPBT as an example,
maximum loads are:
64.0gn H4831 ............... 2,871 fps
65.0gn IMR-7828 ........... 2,882 fps
64.2gn IMR-4955 .......... 2,863 fps
69.5gn (C) IMR-7977 ..... 2,955 fps
Winchester case / Win WLRM magnum primer / 3.290" COAL / 24-inch barrel
http://www.hodgdonreloading.com/data/rifle