A hair dryer blowing on the tray in the back will melt the ice.
The drain tube may be connected to the tray behind the back wall of the fridge; I have seen trays that have a plasitc connection that protrudes through the back wall of the fridge and the tube is accessible from the fridge heat vents (lower) that are on the outside of your trailer. These come off with a quarter turn of the tab on the heat vent. The easist was I check is to blow back up the tube into the fridge - if I do not see any drips of water coming out of the tube. Note - this tube should have a bug screen on it to prevent the little critters from nesting up in it - and it should be directed to drain outside of the heat vent by inserting the end into one of the vents when you reinstall the vent.
I have seen the tray freeze before when the fridge is crammed full - the thermal circulation around the fridge is less with a full fridge and the back and sometimes lower area gets colder and can freeze. I have seen a battery powered fridge fan (sits on shelf) to help with this. I'll go look on the internet and post if I can find it...... Found it -->
Battery Powered RV Fridge Fan
For the Canadians on here (like me
) -->
Canadian Tire RV Fridge Fan
Hope this helps.
PS - I found the one that hangs on the fins on the back, and connects to the 12v light inside -->
Ebay Norcold RV Fridge Fin Fan. If you are OK with a little wiring work, this would be my choice.
Take care,
Brian
PS - Marv (SmokeyBare) posted some pics of him replacing his drain tube on his Dometic a number of years ago. The pics should show you how the drain tube is connected to the tray and routed out the back of the fridge.
Link to drain tube replacement pics (courtesy of SmokeyBare)