I have shot high power many times at Washtenaw Sportsman's Association. Not too far from Ann Arbor. Rifle range goes out to 600 yards.
Is it a club (member/sponsor needed)?
Hi - I'm in Ann Arbor.
There is a FREE public range (rare around here) called the Sharonville Shooting range, 25 min west of AA.
It's open 9:00-5:00 and is closed 1-2 days per week (check website for details). It is a controlled environment w/ range officers. While there's no rapid fire ("wait 2-3 seconds between shots) it is quite nice for a free, public range. They have pistol bays at 7 yds, rifle at 25, 50, 100 yds.
The other close choice is Ann Arbor Arms, as you mentioned.
Besides those, you're looking at 30 min+ for other indoor ranges, or private clubs.[/COLOR