US 212 and US 310 bisect unit 514. I grew up in Billings, Montana and have made the drive between Billings and Red Lodge over a 1,000 times, maybe up to 2,000 times, use to go skiing 70 times a year. I have never seem an antelope on that drive. There are small herds of antelope around Roscoe and Absarokee most of the land is private and in 1 or 2 section ownership tracts. On the MT/WY border in the Cottonwood Creek area there is a very large tract of BLM which should have some antelope and it is the only area in Montana that has a good huntable chuckar population. I would nix that area unless you are a local.
I would look at units 300,301,330,318,310,and 321 all these areas have state, forest, and large amounts of block management lands. Area 360 is the Madison Valley with large heards of antelope on private lands with minor block management areas. The game warden told me that there are a number of ranches that allow antelope hunting and to call him if I got a permit. Permission for antelope hunting does not mean permission for elk hunting though.
Check the drawing odds then apply. I know of no honey hole but antelope hunting is possible. My first choice will be in one of the 300 areas mention and 2nd choice will be in the 700 area.