The great advantage of Disneyland is that it is much smaller and much easier to go from one park to another.
DCA has great spots to take a break:
-Animation Academy (sitting down in AC, you learn to draw a Disney character.) I try to go with everyone, as it is fun and a good break.
-Frozen: The Musical (an actual show with great singers and dancers) about one hour long, AC, sitting down. My boyfriend was not very excited when we went the first time, but we had to go back and enjoyed himself both times.
Disneyland has less sitting down/AC spots.
If you are close, SoCal tend to be really hot from 12-4, so those could be good times to take a break. Are you staying in one of the property hotels?