We somewhat alternate coasts between WDW and DLR. You can't go wrong with either GC or DLH. GC is basically a scaled down version of WL at WDW, so we prefer DLH. To us, DLH is different than any of the resorts where we have stayed at WDW, and it feels really Disney. GC is beautiful, but extremely similar to WL on a smaller scale and often at a higher price than WL.
As a WDW person, don't think twice about the difference in the walk between the 2 resorts and the park gates. The walk from DLH to the park gates is about the same distance as the walk from Yacht Club to the EPCOT International Gateway. The walk is directly through DTD. Sure GC is a little closer, but by WDW standards DLH is really close.
As far as the non-Disney hotels, if you are used to being in the bubble at WDW, you may very much prefer DLH and GC. With either of those resorts, once you park you are in the Disney bubble and you never have to exit the Disney bubble if you don't want to. The walk between the resorts and the parks is through DTD (or at GC you can enter CA directly from the resort property). We stayed at a good neighbor hotel once for a night when we had to come in early and couldn't get a room at DLH-- the hotel was fine, but you are definitely outside the Disney bubble. It definitely is a different atmosphere.
I would do more park days AND hoppers if you can. Hopping is extremely easy at DLR--- it is a 5 minute process. The parks are separated by a plaza about the size of a football field from gate to gate. It is shorter than where the resort buses drop you off for the park gates at most of WDW. The park reservation and no hopping until 1:00 make it a little bit of a pain and less useful than it used to be, but we still hop back and forth. If the wait times are a lot shorter in the other park-- we hop. We used to hop to CA for lunch quite a bit (but 1:00 makes that way more difficult). DH has been known to disappear from DL and head to the beer cart at CA-- DD and I have literally headed to Small World, and he has gone to CA and had a beer and is back inside DL and headed towards us by the time we got off Small World. By WDW standards, DL/CA are more like one big park. You can get from the back of one to the back of the other in 10 minutes.