I'm a non-US Computer Science Student enrolled in a bachelor's + master's integrated program at a top institute in Asia. I wanted to do a semester-long in-person research internship in the Fall of 2022 semester (I'll be a senior then) under a prof in the USA whose interests align with mine. I'll be starting to mail such professors soon. However, I would like it if all my basic expenses (travel + stay) are fully-funded because I cannot afford them as a student. I do not have any letters of recommendation since I've never done significant research before.
I have an average GPA but a SWE internship at Google, which is a totally different experience (I'm going to do a similar internship next summer, should I mention it?). What would a professor look for in prospective students?
I have a winter break, and I'm planning to carefully read about professors' work and write good personalized e-mails. Is there anything else I can do to strengthen my application?
I'm not eligible for REU (also I think it's only summer) since I'm not a US resident or citizen. Do professors fund students from their allotted funds? I've come to know that some universities treat such students as Visiting Research Students and fund them as student researchers (professors don't have to fund them) if a Professor invites them. I'll be aiming at those first.
I cannot find anything when I search for "long research internships," is there a different term for this?