Points help, but there are areas that you can draw with no points. In some instances, the special draw, which is more expensive makes it easier to draw as a non-resident, with no points.
If you can find a tag in a unit west of I-25, there is enough public land in that unit to make a hunt of it. That should help with your search.
I have hunted antelope in Wyoming six of the last eight years. There are a few whopper bucks in every unit. Takes lots of looking to find them. Even in the best units, that take years to draw, boomer bucks are not standing behind every bush.
And, the joy of antelope hunting is the sheer numbers of animals you will see. I would rather go and hunt average of overlooked units every year, than to hunt once every five years. You will shoot more big bucks by hunting every year, even in the marginal units, than hunting every five years in the supposedly "premium" units.
If you give me an idea of units you are looking at, I can tell you what percent of that unit is public land.
Here is the link to the Wyoming draw odds on our resource page -
http://oyoa.hunterstrailhead.com/huntsearch.php?ST=WY
Good luck.