Jax to NYC, ten days is not uncommon. Beatable--but not uncommon. With bad wx or mechanicals problems, it could be too tight.
Also bear in mind that depending on winds and currents (the Hudson River is not a river until you get way up it, there is a tidal bore and current most of thw way up) and the need to dodge traffic, plus the notorious light winds of August, you may also need to motor all the way up from NY Harbor into the lake.
Not an impossible schedule--but one you'd best plan on breaking if anything doesn't go according to plan. And extra week would be way more realisitic.