How to find internships for the fall? (Rising Senior)

So I worked this summer at a job that... AOs probably won't care about. I'm shooting pretty high to some T20 and I was wondering how to approach reaching out for internships during the school year?

I'd be down to intern anywhere under some sort of engineering discipline, although I would LOVE to do anything space related. I can think of reaching out to local universities and offering free labor to some organizations at the uni. Or perhaps reach out to local companies and see if they could need a hand?

I have experience with machining, power tools, CAD/Computer Aided Design work, and team management. My profile isn't the most impressive but I hope my summer work experience might help.

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