If there's a park that you wouldn't mind doing on your own, go for a one-day ticket. There's bound to be lots of helpful information on the "Adult and Solo Travelers" forum futher down the Trip Planning section.
Keep in mind that you can not purchase a one-day park hopper, so whichever park you choose will be the only one you can visit.
You may want to take in some of the sights at the resorts. From the Swan/Dolphin, it's just a short walk to the Disney/MGM Studios, which is the closest WDW bus hub. From there you can take a bus to Disney's Animal Kingdom Lodge (visit the animals on the resort's savannah and get a hidden mickey scavenger hunt sheet from the front desk).
At Fort Wilderness, there's a petting farm, the Tri-Circle D Ranch, where the WDW horses live, and horseback riding.
Disney's Wilderness Lodge offers a short guided tour from the front desk.
All resorts with marinas offer small "watermouse" boats for rent.
Downtown Disney shops open at 10am, and there are plenty of great places to eat all over the property outside of the parks.
Mini Golf is available at Fantasia Gardens -walking distance from the Swan/Dolphin. That might be something you and your husband would like to do in the evening after dinner (they're open till 11pm).
If nothing I mentioned sounds like your cup of tea, definitely head for the parks, and check out the "Adults and Solo Travelers" forum for tips and encouragement.