There are quite a few non-disney resorts that are just as close to the parks, if not closer. Bonnet Creek, the Swan and Dolphin jump to mind, but I know there are one or two others at least.
You can actually walk into EPCOT and DS from the Swan and Dolphin.
Just out of curiosity, why avoid Disney resorts if you want EMH? The values, and possibly moderates would give you EMH, plus a few other benefits like transportation, are themed awesome, and are just as cheap or cheaper than the DTD hotels.