Someone mentioned DTD for the dining plan; I am pretty sure all of those restaurants, i.e. Rainforest Cafe, T-Rex, Paradiso 37, etc. are not on the dining plan. They are all owned by others; not by Disney.
However, you can double up your table service for a character dinner at one park, and then hop over to DTD another night. In other words, use two table service credits for one character breakfast.
You will just have to pay for your meal at DTD. That is what I do, because I love Rainforest, and I cannot wait to try Paradiso 37! I end up doing a character breakfast at the Contemporary at Chef Mickey's and one at dinner too. That gives me two free nights, without losing my credits.