The other options that are very close to Reno are Grouse Ridge, of Highway 20 right where it meets I-80, or Carson Pass north.
Grouse Ridge has loads of lakes within an easy walk of the ridge itself, and the trailhead starts at the top and leads downhill. You can pick out which lake you want to visit from the view at the trailhead, and then it's all downhill. By the time you are hiking uphill, you are on your way home, with a lighter pack.
From Carson Pass you can head into the Meiss Meadow area—Boulder Lake, Round Lake. These are relatively easy hikes and put you into lakes that still might have some fish in them. IN fact, people day-hike to each of these, so an overnight is pretty doable. Southbound, you can hike uphill to Winnemucca or Round Top Lake. Steep climb, but it's less than two miles, so just take you time. But those require more complicated permits…