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How are you so sure you will never fly either airline again? Even if you don't want to buy a paid ticket, there could be occasions when having those points could be handy. Also both airlines have ways of spending miles on things other than flights, such as hotel rooms. Points.com might offer a way to transfer them or you may be able to convert them to Marriott points than convert them to JetBlue points, both of these options are terribly bad value though.
There may be some convoluted way to transfer them into something and then out again, but it's all specific to the loyalty programs' rules. First thing that comes to my mind is hotels ... the transfer rate may be dismal, but if you're not going to fly, you might be able to book some comp hotel nights.
Look up the partners for Delta and American to see if you could use one of them; flying, shopping or whatever. The Points Guy doesn't answer direct questions, but you could do a search to see if they've written any articles that apply to your situation. Beam up FlyerTalk and have a look at the questions and answers on the forums for each airline. You'll probably find many choices for using your miles, it's just a matter of finding something that you want or need.