please don't do yourself a disservice by couching this as "begging". Do not come across as desperate (even if you are). It is perfectly reasonable to contact programs you are interested in to affirm just how interested you are in their program and reminding them of some of the things you have going for you. They probably don't know that your pass score is in (the transcript updates itself on ERAS but they are probably not downloading applications at this point). Sure it is very late, but you have absolutely nothing to lose by doing and might even gain.
DO NOT ask for a skype/telephone interview as this will come across badly, and might be interpreted as disinterest.
Send a no more than 200 word emial to the PD of some of the programs you are most interested in and haven't heard from 1) casually mentioning you have now passed COMLEX PE 2) mentioning some specific reasons you are very interested in the program and 3) mentioning briefly some specific strengths or attributes you have
Calling or even turning up in person might also be more proactive ways of doing so. Sure it borders on stalkery, but in other fields people do this sort of thing and it works, and I can tell you that I know people who have got interviews for residency by just turning up and asking! I also got interviews from places late in the game by getting in touch with programs and in fact initially got rejected for interview by the program I am not at.
As the recipient of (too many of) these inquiries, I agree with the above. (Well, except the "just show up" part...)
A couple of pointers: 1) Asking for a skype/telephone interview is really a request for special treatment. I realize that in your OP you couch it as "saving time and effort", but it really isn't. In addition, most programs approach the interviews as opportunities to get as many sets of eyes on applicants as possible, as well as selling their program--so you're kind of asking us to suspend our normal routine for you in the absence of a major medical or family emergency. As PD I am not an autocrat and do not dispense favors by decree--so I'm really not likely to be bypassing my committee on a whim.
2) As splik says, keep it short and specific. If you really feel that you need to be at our program, why is that? Is there a tie to our region that doesn't appear on your application for some reason? (I really have had several good applicants who have gone to high school locally and have essentially their entire family here--and there's nothing on ERAS to show that, and no way to search for it either!) Is one of our alumni your attending advisor and talking us up (though if that's the case, you should have them do the requesting on your behalf!) I'm always a little stunned when I get an email informing me that we are someone's "top choice" before they've even met us. I mean, I like our website, and we've put a lot of effort into getting it up to date, but really? Do you buy a car off of cars.com without driving it, too?
3) Finally, I've said this before, but
look at that email before you hit send! Is the formatting consistent? Is my name misspelled? I could show you some extremely embarrassing efforts. I mean, if you can't properly copy/paste a simple email, how will you manage our EMR?
Good luck. And I do mean luck, because there's a certain amount of randomness in this process as well. Right now we have about a hundred very similar-looking apps in that wait-list bucket, and maybe a half dozen openings or potential cancellations coming. May your email be the one that hits the coordinator's inbox when that next cancellation comes through!