This is my opinion. If you are on a tight budget and I assume you would have to choose between a value and SOG, I would choose SOG....ESPECIALLY since you are going to be on a honeymoon. I have visited the values on previous vacations and there are masses of children everywhere, the buses are packed like sardines and overall, it was just not the sort of atmosphere I would consider ideal for someone looking for a quiet location.
SOG, even though it has kids, things are so quiet. You walk into the lobby and it is so peaceful. The rooms are very large, has a fridge for free, has a small AAFES for all your needs while there and they are more affordable there than at a WDW gift shop. The monorail at POLY is just about 5-10 minute walk from SOG, which offers an even more peaceful transportation option. They have a hottub at SOG

. You can also get roomservice. We enjoyed breakfast in our room. I was surprised at the quality and it was not outlandishly priced. The previous poster was correct about Evergreens. Good food, open late at night. My son likes the pizza (which can be delivered to your room), but I think it has too much garlic. My favorites are the onion rings and turkey club. We eat there often.
You can request a room farthest from the lobby if you really want quiet.
You should be able to get transportation roundtrip from the airport for about $100.