Re-homing Animal Aggressive Dog

Hi everyone. I am unfortunately needing to re-home my 8ish year old German Shepherd/Golden Retriever mix. We have had her for about 6 years and have tried so many things to get rid of her recourse aggression to no avail. She is currently medicated but still attacked our 13 year old daschund last night and it was the last straw. She is such a sweet dog, and loves attention and cuddles. She loves walks and car rides. She is crate trained, but occasionally submissively urinates. She would be a wonderful companion to someone with no other animals. She has never shown any aggression to adults. I have searched for no kill shelters but I can't find any that either take dogs with bite history or aren't at capacity.

Can anyone suggest any other resources? I don't want to have her euthanized but I don't know what else to do.