Out-of-Downers Dome and the smaller (unnamed?) dome immediately behind it are set into the hillside left of Out-of-Towners Dome in the East Stronghold. They face southeast. The rock seems to be quite solid. Although this area is described in Bob Kerry's 1997 guide Backcountry Climbing in Southern Arizona, 2nd Edition, it doesn't seem to get much traffic.

Climbs are one or two pitches long. The climbing is primarily crack climbing, with some chickenheads. The guidebook lists eight routes, including every grade from 5.6 to 5.10. I didn't notice any bolts anywhere. You can walk off from all the routes, although it's a bit hairy if you're on the northeast part of Out of Downers. There are a couple of dubious rap anchors on that northeast part, probably not coincidentally.

This area is in the East Stronghold. Don't go to the formal campground. Instead, find the approach to Wasteland Dome and Out-of-Towners Dome. Shortly before the trail starts climbing uphill to Wasteland, a trail branches off to the left, headed toward Out-of-Towners. Take a left at a cairn before or after, as Kerry puts it, "an ugly prickly pear cactus and a big potato-shaped rock on the left, about 60 yards before Out-of-Towners." The trail is probably too faint to follow by itself, but there are periodic cairns -- you might have to wander around a bit to find them. The trail angles uphill and left for a bit, then traverses straight left to Out-of-Downers. The approach takes about 50 minutes.