Briarcrest is too short of a driving range and so many home owners complain that people are hitting their houses so it's going to stay mats only to back it up as far as possible.
A&M is tough to know when it's grass or mats. Typically if it's a school day, it will be mats because of the golf class hitting on the range. So typically weekends or maybe holidays/summer when school is out should be grass.
It's been years since I went to Jackson Hole or whatever the range off rock prairie but I would think it's typically on grass unless they get so much wear from people that they need to give the grass time to come back.