The other option is to not strip your knives and then the working edge will stay clean and the coating will prevent the rust.
I have both and find myself using the ESEE3 for coyote and deer far more than the 16. In fact, for me, I like an ESEE3 for the field and the BK15 for skinning and boning. I have large hands and the tweener grip is decent with liners, but thin for me otherwise. Also, the dip at the end of the tweener handle messes with the feel of the knife for me. The 15 has the choil, which eliminates that problem for me. For whatever reason, the ESEE3 handle just works for me. I know many say it's too blocky and too short, but I find it to be decently comfortable.