Coraline_Reef:
My husband and I are pretty new to diving, so we don't know where all of the best destinations are yet.
For the east coast-centric American traveller, the general direction to warm water is the Caribbean.
As novices, I'd be personally inclined to discourage you from going to places that may be overly challenging: places that mostly have deep wall drop-offs, rougher waters (in Feb/March). Also, if you're not seasoned international travellers, also away from places that are hassles to get to/from.
As such, I'd cross the Caymans off your list (bottomless walls, plus seasonal weather for Brac & LC), probably Cozumel too (walls, plus drift diving from live boats), and unfortunately, Bonaire (flight hassles)...even though these are the classic "Top 3" Destination for divers travelling from the USA.
For the Caribbean, this probably leaves the Florida Keys as the most typically recommended destination. You don't need a passport or to know another language. They're also very used to getting novices, and while some divers will complain about "overdived" sites and it not being "top-notch" diving, its IMO a good starting point...my most general recommendation is to not worry about it and to save the more expensive "Really Good Stuff" until after you have 50-100 dives under your belt and have your diving skills to the point where you can enjoy the scenery more.
For example, my wife doesn't dive, but if she were to go get certified tomorrow, I'd not have her first real OW dives on Cayman Brac where we go every year...I'd land her either in the Keys, or, since we're pretty seasoned travellers, Bonaire. The last thing I want is for my last sight of her to be 200fsw down the wall and sinking.
-hh