Currently my plan is to take the Liberty Spring Trail up to the Liberty Spring Tentsite, get water there, and spend the night in that area. Then go the rest of the way up Mt. Liberty to get a taste of above the treeline, hang around there, maybe wander the Franconia Ridge Trail between Mt. Flume and Little Haystack Mountain, and head back down the Liberty Spring Trail.

I'd really like to do Little Haystack Mountain to Mt. Lafayette, above the treeline, but, while it can be done in a day hike (by some people), the coworker I've been talking to says it's tough to get to water. You kind of need to spend a day getting to the Liberty Spring, then spend a day going along the ridge to get to water at Mt Garfield. I hadn't thought that far myself, but above the treeline, water is a problem :)