I have done that trip from a few different ways. All are different and have benefits:
-Up over the Twins & Bonds, out to Lincoln Woods (required a car spot)
-In through Zealand, bagging Zealand & the Bonds (required a car spot)
-In via Zealand, but going past Thoreau Falls to Wilderness Trail, then looping back over the Bonds and hitting Zealand on the way out (a loop, another variation we went by Shoal Pond)
-Out and back via Lincoln Woods over the Bonds
-Franconia Falls Trail to Camp 13, then up over the Twins and Bonds and looping back again to Lincoln Woods
I think my favorite was the Zealand, Thoreau Falls, over Bonds and back again route. We camped near the intersection of Lincoln Woods and the Bondcliff Trail (well off trail). Day 2 we camped along the ridge in the vicinity of Bonds. Day 3 was a long schlog out passing Zealand and the hut. Water is generally not a problem, only when you are along the Bond Ridge. There are some opportunities to camp 'up high'. They are hard to find, but depending on your number and your LNT practices they are amongst my favorites.
The Guyot shelter can also be worked into a trip. For a fee-based area, it's one of the finest. Reliable water there, too.
Almost anywhere down low that is 'legal' will provide for camping areas. Lots of hardwood and water on the valley floor.