I get what PP is saying, although for some circumstances/travel preferences, I have a different take. As time has gone on and our WDW preferences have evolved, more of our trips are mini-staycations, so to speak. To us, the resort is a really big/important part of the trip. I can't say we've ever done a true no parks trip (at some point you always get the itch to go), but over time we find ourselves just "popping in" for a bit then back to other parts of WDW or other things to do (water parks, mini golf, lounging around the resort, dining, Ft Wilderness, etc). Granted this perspective is skewed by someone who very much likes the Disney Resorts product and has APs that goes a few times a year, so being in the parks themselves (while important) has evolved to have less significance.
For us, this is more possible/logical at places like the monorail resorts - specifically Poly followed by CR and GF. Give me somewhere I can easily see fireworks with good show audio, several dining options, recreation, and the Electrical Water Pageant - that all has some pretty good value to me. Granted 'budget' and the monorail resorts don't often go well together, depending on your definition of budget.
Something like a Ft Wilderness cabin could also work given the myriad of options that Ft Wilderness provides, if you're into that kind of thing.
AKL could work for animal lovers, although I'd probably get a little antsy after a couple of nights.
Obviously one could have all sorts of opinions on if a staycation is 'worth it' or not and the majority probably wouldn't recommend it if you're not going to the parks, but that's my take.