Trade with Extended Warranty

I am looking at a new car and I plan to trade in my existing. My question is what do I do with my existing service contract and when? 

I am 3 years, 47,000 miles in. I (way over) paid $3,139 for 84mo/100,000mi.

My understanding is that it is not worth anything at the trade, and it will take some effort to get a pro rata refund. 

My understanding is that if I cancel before the trade, the money goes to the bank. After the trade I get a check. 

The contract is cancellable for a $75 fee. Is this even worth the effort?