The 180 in the 7 or the 215 in the 300 would give similar performance, so mainly personal preference. Both of those are very long bullets which will limit your coal greatly unless you want to single load? The 700 SA will only accept about a 2.820" coal. Normally, given that you need very slow powders to push these bullets at top velocities, the bullet has to be seated so deeply that your case capacity is diminished and accuracy can be affected as well as velocity.
If you are interested in Wildcatting the SAUM in a SA 700, my SS case design is a big improvement! I am currently having dies made for the 7 SS (Sherman Shortmag) which is Creedmore length with no compromise in velocity with the SAUM. I could also have them made in 30 cal. Since deer and coyotes are your primary targets, I would also strongly recommend the 6.5 SS on the same case. You can load the 160 Matrix at over 3100' and bullets down to 87 grains or lower are also available. If you are interested in finding out more, pm me.............Rich