I've stopped topping off the diesel tank. I think the possibility of slightly greater condensation in a partly full tank is less of a problem than having old fuel in the tank - especially with a good racor filter to take any water out. The new diesel formulation used in the US doesn't last well. And in the spring, don't fill the tank until you're sure the marina has had a new spring delivery of fresh fuel.
On board, moisture is your enemy. A boat stored in the water can quickly have condensation dripping off the overhead. This will bring mold and mildew. First, make sure the bilge is really, really dry (I just bought a wet dry vac that clamps on a standard 5 gallon plastic paint bucket at Home Depot for $19.99. Works great.). Don't seal up all your vents. You need some ventilation. A fan to blow the air around is also a great idea. Open every locker, drawer, and compartment. You want air to circulate.
Then, have some heat on the boat to dry things out. Don't use portable heaters, they're a fire hazard. A couple of 100 watt light bulbs - one by the engine and one in the bow will make a world of difference. If more is needed, use 250 watt bathroom heat lamps. Tie or tape the fixture so they can't fall against anything combustible.
Do follow the advice of putting a tarp over the boom. The cockpit drains will freeze and then the cockpit will fill with ice that is almost impossible to remove before spring.
And every winter in New England has some 60 knot gusts. Make sure the boat and her equipment is secured for this.
Carl