Again, the universities fall into the same route. I've gotten a university internship with basically no problems, although not research/science field.
Narrow it down to the non-paid ones, and then you can usually look at the application to see if they request anything sensitive (ss#, proof of residence) etc.
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Bio Date - 02/22/18 (walked in 2/15)
Expiration - September '18
Approved - 04/09/18
Naturalized via MAVNI | April 2018