It’s not a worthwhile internship- it is multiple internships, building one on another. The value of the first internship is that it helps you get the second, and so on.
The Coverdell Fellowship program is great- just be aware that it is an application, not a given (people do get rejected), and that the amount covered varies by partner school
I’m not sure why you have limited yourself to UWi & GW- esp as you haven’t got acceptances to either! If you want more suggestions of good options, what is your no-debt budget?