I don't know that this is the case with all antelope areas in Wyoming. I'd be curious to know how many points you had-If you were a nonresident that is. I've definitely hunted/heard of areas that are like that, but I don't know that they all are.Not sure what state you're hunting, but my first antelope hunt in Wyoming was a zoo. I waited until the second week of season to hunt to try and avoid the crowds, but that meant all the antelope were on private. The only way we found goats was to hike away from roads into areas that could not be glassed from roads. Even then, the pickings were slim.
In areas where antelope being run onto private IS an issue, early morning and late evening seems to be the best time to hunt in my experience. You may have to try to catch them on the edges. If that's the case, and it probably goes without saying, be sure to make a good shot. My Dad killed a doe antelope about 15 feet from the fence line last year as they were about to head across the boundary.