I have an Eskimo Quick Fish 3 I bought back in 2008. I also had some rodents get into this past off season and did the same to mine, fortunately they didn't chew any holes! I just set it up and hand washed it with a washcloth, warm water, a splash of Bleach and some vinegar. Didn't take too long and I believe I was able to clean it without issue. I also used a fresh towel and straight warm water to clean off any residual.
Best of luck and tight lines.
Pyro