I am an avid climber with alot of winter climbing/mountaineering skills. My fiance is novice at best.
I think you've already answered your question. Whichever you choose, this will be a trip for your fiancé (since they're lacking the skills and you'll be in guide/support mode). Let them decide what they prefer to do, i.e. which location will be preferable for their discomfort. 10 days sounds ambitious to me for a novice, so I would opt for the Kearsarge to Whitney. Less snow, obviously, but mainly because you have more bail points in case one, or both, of you "aren't feeling it" a couple days into the trip.