If you stay at a monorail resort, or even if you don't, I'd recommend a monorail crawl. 1-2 apps and 1-2 drinks at reach spot. My wife and I did this our last trip:
- Trader Sam's, hit up Tambu Lounge while waiting to get in
- Enchanted Rose
- Steak House 71 lounge, then the Outer Rim for just drinks
We took our time and used it as a late lunch/early dinner. We took 6-7 hours, but it can be done much quicker than that.
Pool time (and pool bar time) can be very relaxing and fun for a couple.
Jelly Rolls on the Boardwalk is pretty fun. Check out Abracadabar, too. There is also Atlantic Dance Hall, but we haven't been. We also like Belle Vue Lounge.
You could get a couples massage at a spa.
World Showcase. Disney Springs.
Golf?
Really, anything you can do at WDW can be done as a couple and you'll have a great time. As far as resort, there is construction at all the ones listed except AKL, if that matters. AKL is a destination resort, IMO and there is a ton to see and do if you're going to have some decent amount of resort time. Which you should, if staying deluxe. But, for a first timer, nothing is going to beat staying on the monorail.