MT and WY I think both have units that can be drawn your first year.

WY has "special" draws, which costs about double, its the same tag, just gives you better odds, may be something to consider, I drew last year, a regular antelope tag in WY, so now I have no bonus pts, this year I may put in for the special tag for a quality unit.

Put in for NM, no pref pts so everyone has the same odds, you and/or your dad might get lucky...