Hello John,
There are many options for two day loop backpacking opportunities in from the Hannagan Meadow area and I am sure that others more familiar with
backpacking in the Blue and Black River areas will reply back to you. I just recently returned from 10 days of camping- 5 days of day hiking the areas out of Hannagan Meadow Campground. This great, FREE with well water, A/S Forest Service Campground is a wonderful place to stay @ 9100' elev. the night before you start your backpack in.
In the process of doing my day hikes into the Blue and Bear Wallow Wilderness areas, I did find a GREAT backpacking opportunity that was in the Bear Wallow Wilderness:
See my trip log write-up of 6/3/07 for SCHELL CANYON TRAIL. This one would be my choice IF I were going back for a backpack trip with limited time of from 2-3 days IN with having a base camp setup at the spot ~.5mls up the Schell Canyon Tr#316 from the intersection with the Bear Wallow Tr#63. On your second day you guys could dayhike the Bear Wallow Tr#63..and/or..here, where your base camp is located, there is a little used and unmaintained spur canyon that leads up the South Fork of Bear Wallow Creek for more remote exploring! If you don't care for this above mentioned campsite location, then you can continue down to the Bear Wallow Tr#63 and turn Left and continue for other campsite options along the creek on this trail for a total of another 4.5miles to it end at the San Carlos Indian Reservation Boundary...
IF you guys don't have a high-clearance vehicle(ie- std. truck or SUV) and
not a passenger car, then you can opt for starting in at the Bear Wallow Tr#63/TH as opposed to starting in at the Rose Springs Tr#309/TH (as suggested in my 6/3/07 write-up)...Be sure to study the elevation +/- (going and coming) of all these trails in the Blue/Black/Bear Wallow Wilderness areas
before you discover them AFTER you are there and with 40-50lb packs on your backs..

!
Regards,