Really having issues with chili pans....

I've tried pan liners twice...they are not working.  As I've said before my two 1/4 pans meet directly over the flame so no matter how low I have the flame that edge of the liner melts.  Last time I tried it it freaking congealed and became one with the pan....plastic melting into the chili....ugh.  They are good up to 400 degrees and all that.
 
I cannot....and will not...keep scrubbing these suckers every night.  My next thought was a foil insert but I can't find them for 1/4 pans...do they make them for that size?
 
Also tried Pam....doesn't work.  In fact it adds another burnt stain crap that I can't get off.