Yeah… try the Swan&Dolphin. You get all (errr… most) of the on-property perks for less than the deluxe resorts.
There’s also the Garden Wing at the Contemporary, as well as standard view rooms at the Animal Kingdom lodge which I’ve noticed are less expensive. Saratoga tends to run for a little less, as well.
Then if you must veer from Disney resorts, you could try for the Downtown Disney Hilton or other DtD resort.
There’s also the possibility a room opens up at a value/moderate.