That's quite a lot of programs, so I don't think adding more programs will necessarily improve your chances. You might try reaching out to a few programs (PDs) directly via e-mail and imploring them to look over your application. You may gain a few additional interviews this way. I would concentrate on programs that are within reach considering your stats and mention something unique that draws you to the program (family in the area, a mentor that trained there, etc.). Also mention that you are so interested in your program that you would be happy to take a waitlist position and/or are able to travel on short notice if there's a last minute cancelation. Find a way to say these things without sounding desperate.
Some programs have firm cutoffs for things like Step 1, so you may have been filtered out of the first phase this way. Our program only downloads applicants with Step 1 > 220. For this cycle, that means that we didn't even look at > 500 applications because they were below this cut off.
Thank you for the response! Do you recommend LOI or calling the programs?