What are you really looking for: a Disney resort or getting better than Disney accommodations not on Disney property?
Staying off Disney property requires a car or since it is just 2 of you, using Uber (cheaper than parking most likely).
Options:
DVC resorts: You can rent points from owners to stay at OKW, SSR, BWV, AKV, BLT, GFV, WLV, PV, BCV. The price will vary based on the resort and what you can find a person renting their points for. For a quick count and estimated $12/point, AKV would be about 46 points totaling $552. You would need to adjust for the per point cost. OKW, SSR, AKV, BWV are about the same points. Other resorts go up a little bit. You are looking at about $550-$750 for all of the night.
Disney Moderate/Value resorts: Very magical stays at some great resorts. CSR is my favorite moderate and PC is my favorite value.
Offsite: You get better than Disney accommodations, far better in room amenities, and can save a ton. WBC can be had for maybe $50/nt for a 1BR at this point. I know it is not your dates, but a 1BR at Sheraton Vistana 06/04-06/11 is going for $350.