The options here differ if you are arriving by plane or if you are driving. Post above from Alabama mentioned staying in Titusville, 25 miles away, and that is such a quick drive on the morning of boarding. We do something similar--from Atlanta if sailing on the Magic on Saturday, we drive after work (and after Atlanta's hellacious rush hour) as far as Jacksonville, about 350 miles, then call it a night because by then it is at least midnight. The last 2 1/2 hours the next morning on I-95 still get us to the ship at or before the commencement of boarding.
For the Wonder in January, could drive all the way to near the Port on Saturday before Sunday embarkation, but probably just pack on Saturday morning and drive to Jax again. Not guaranteed to be warm enough to enjoy the Ron Jon pool or anything like that in January.