The OP is shooting ground hogs, coyotes and deer out to 250 yds and would like minimal meat and fur damage.
What works for a groundhog may not work well for a deer, but works well for a deer will work for a groundhog, so really, we have to pick the bullet for the deer.
Of the bullets mentioned, I think the GS HV 69 is the best but probably the most costly per bullet. My other 2 choices would be the CE 88 HPBT STD or the 90 gr E-Tip.
Based on my limited experience with CE bullets, they are very accurate and easy to load for. Both they and the GS bullets, being bore riders, slide through the tube easier than other conventional bullets and get a little better velocity. E-Tips are tough bullets with good squarish frontal expansion. I've retrieved a couple from the dirt @ 400 and 500 yds.
So take your pick. Most bullets will do the job, but they wont all do it the same. Small caliber cup and core bullets will certainly do more meat and fur damage at high velocities but will cost less per unit.
You may have to pay a little more for your bullets if you want exacting performance.