April is a geat time to be at HH. The weather will be in the 70-80 range and most activities will be available. The ocean may still be a little cool to enjoy, but walks on the beach are wonderful then.
We enjoy Alexanders (about 1/2 mile from the resort on the way to the Beach House) for a nice dinner , but the Old Fort Pub would be my choice for an anniversary dinner. In spite of the "tavern" sounding name, it offers a nice quiet dining experience. It's a few miles from the resort and reservations would be a good idea. The CMs can provide directions (it's fairly easy to find, but is in a different gated area at HH) to the gatehouse where they will provide a pass and direct you to the restaurant.
Enjoy! ( ... and Happy Anniversary!)