I doubt that I'd buy a 7 mag because the performance is so close to that of a .280, and I wouldn't purchase a short mag because their powder capacity is negatively impacted by the use of long bullets, which by necessity seat below the shoulder of the cartridge if they are to fit in the magazine. If the Tikka is a long action, the bullets can be seated out a bit, unless the rifle has a short throat, but the WSM still takes a back seat to the performance of the full length cartridges. So I guess my choice is would be a .308 Norma, a .300 Winchester or .300 Weatherby. Ranger Dave brings up the point of recoil, and these cartridges produce their share, where a 7 mag is more like a .30/06, but the .300s don't kick so hard that a dedicated rifleman can't develop a comfort level with them, if the rifle fits him, the respective heights of the comb and rings are compatible, and the rifle is fitted with a good recoil pad.
It appears though that you've made your choice, and the rifle appears to be a good shooter. Congrats.