The thing with Disney is, they have parties and events there all the time, many of which have a lot of the same/similar features that a wedding reception would have. So if you wanted to have a reception through Disney, essentially you could. Just as long as you didn't call it a "reception", per se. The only thing is, you would need to have your ceremony at another location. Before we had to postpone our wedding plans, DH2B & I were actually considering having our ceremony (w/about 20-25 guests) in a either a suite or villa at one of the hotels. We wanted a villa overlooking the water at the Boardwalk or a suite at the Grand Californian at DLR (we live in So Cal) - which we even had booked & the view off the balcony was of DCA. It would be casual, but not jeans/shorts casual. We were going to bring flowers & decorations to dress up the room a bit. Then we wanted to do a dessert pary for either Wishes or Illuminations had we decided on WDW - which we would've needed to go through Disney to plan. Or we were also considering a Mad Hatter Tea Party for brunch the following day.
There are so many possibilities!!!
Good luck!!!
p.s. You & your partner look absolutely adorable together!!!!!