No prob. The first site at Granite is nice, room for 3-4 tents, but there is a cabin beside it (75-100m? away). Granite site 2 is also on the lake, but I'm not sure what the site is like - shoreline looks nice though. Granite site 3 is biggish, 3-4 tents worth, but not on the lake. Granite is about a 20 minute drive at most from the Quinn trail. Nice sandy beach/boat launch and a mud pit there if you care.
Redhorse (nice lake) site 8 is right at the road, also on the water, nothing special and kinda open to the cul-de-sac/boatlaunch. Redhorse site 1 shows as accessible by road, but you might get down it in a Sami (if that), nothing bigger. No way I could get down it in my jeep. It is accessible by ATV though.
Mair lake has sites right near the trail head, but the lake is a fair bit smaller.