Not a bit. You simply cannot pack enough batteries into the trailer to run an AC unit. As for solar? Nope, not even enoigh room. Do yourself a favor and give the idea up.
Now, if you do want solar, you need to figure out how many amp hours your going to use per 24 hours and then come up with a plan to half that amount. Now you need to figure out how many batyeries your going to need to do that. Then you can come up with a plan for solar. 250W of solar panels is posibly good for 4 golf cart batteries and maybe 200 total amps per day.