Most of the hotels around here are built for travelers or nooners, not really romance. The Marriot at least is convenient to the airport if that is your plan. Been awhile but I think the food is OK at the restaurant and you can get an ever changing view while you wine and dine.
I think that underground trolley still runs to all the terminals, though you may want to verify.
If you want to travel a bit some of the big new hotels downtown might work.
Oops, missed the no airport post. I would drive the hour plus and spend the night(s) down in Galveston at the Gálvez or the Tremonte. Both honeymoon friendly.
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