GPR programs are all over the country, and some are really hidden gems. I've heard about good ones through word of mouth as well as this website. As said before, the VAs are known to be prestigious but they are difficult to get into (They pay really well). I would definitely suggest a GPR over an AEGD due to more complex cases, valuable hospital experience, and better pay. The GPR programs will look at grades and scores, but if you don't really shine in those areas, extracurriculars, letters, and knowing people are truly beneficial. So don't lose hope.
Depending on where you are from, you may want to choose programs close to you or if you want to get out and explore another city for a year or two, definitely apply nationwide.