Aaron, dont worry youll have a fantastic time with our without a huge honeymoon budget. Some of the best moments at Disney World are free.
I agree with the others about getting bride and groom ears, but be warned that they do draw attention. We wore them sometimes, but some of the time we wanted a little less attention, LOL!
Port Orleans French Quarter looks like a very romantic resort. A romantic stroll between that resort and the Port Orleans Riverside resort in the evening would be very romantic. Also, there is a boat that goes from your resort to Downtown Disney, so that would be nice as well (but not privateanyone can ride it). As far as upgrades go, the only thing you might get would be a king bed room, but wedding ears dont guarantee any upgrades. Disney actually has lots of honeymooners all the time, so they cant upgrade everybody.
Yes, you can certainly visit the Polynesian and hang out in a hammock while watching the fireworks. We enjoy visiting the different Disney resorts just to see what they are like. Plus, they each have some unique stuff in the gift shops to check out.
Also, be sure to ask to ride up front in the monorail (where the driver sits) once during your trip. Its got a great view, and its a really neat experience. You might have to wait a little while for a chance to get in the monorail when its empty, but its fun.
Be sure to visit the BoardWalk resort. It has a lot of personality, and lots of fun activities. You can rent a two seater surrey bike and ride it around the BoardWalk (we love doing that, especially at night). They also have carnival games and strolling entertainment on the BoardWalk.