I disagree with all the doomsayers who are telling the original poster, "Apply to all the 'bottom of the pile' programs and maybe you'll get something." It's true that it's probably not worth applying to certain programs unless your grandfather is the chief there. BUT the majority of programs in the country are still fair game for you and you should definitely NOT exclude them just because someone told you only to apply to the bottom of the pile.
Anesthesia is perceived by medical students to be a competitive specialty but the reality is that it is not highly competitive. A lot of very average candidates (relative to dermatology and plastic surgery, I mean) actually match into top programs. As someone who interviewed more recently than ten or fifteen years ago, I definitely saw a couple of programs on my trail that were begging for people to just come and interview, and there are definitely a good number of programs that are FMG friendly as well. (I'm assuming you're not a foreign or international medical graduate, but as you know, some programs simply have to interview a large range of people in order to fill.)
Foggy, the point is that despite not having stellar boards or stellar grades, you should probably still be able to get an anesthesiology residency, and one where you will hopefully find a good fit, at that. If you need a little more guidance on which programs are within reach, I found this thread to be very helpful (it's still linked from the FAQ):
http://forums.studentdoctor.net/showthread.php?t=48717
Most of the programs this thread lists under (1) and (2) are extremely competitive (possibly not worth rotating at). Many of the programs under (3) would be considered "great matches" for various reasons, but even though they may be a "reach" (some are a bigger reach than others) their academic standards may not be as competitive as (1) and (2) (though popularity may make SOME, not all, of these, equally competitive). But if you're interested and you have the money to apply, you should definitely apply.
Most other programs in the country that are NOT on this list, are probably "average" and are reasonably within reach. This leaves you probably a hundred other programs, if not more, where you have good chances at getting interviews.
Would I apply to 60 programs? Ehhh, I'm not sure -- I think that might even be overkill, but I think there are a lot of people on this forum who applied to a ridiculously large number of programs, felt it was worthwhile, and now recommend it. I had mediocre grades and good boards, freaked out and applied to 30 -- way too many. Now I think anyone average should apply to 20 (even though many disagree with that) and 30 should be for candidates with handicaps (including the original poster, who has poor boards). No matter how many you apply to, it will still be very difficult in terms of time and money to interview at more than around 15. So apply to enough programs to get 15 interviews -- any more than that and you'll either run out of money, burn out, or physically not have time to make it to the rest.
Focus on locations where you would like to live, and expand your numbers from there. Hey, if your family lives in Baltimore and you'd like nothing more than to move back, apply to Hopkins even if you might not get an interview -- it's all about priorities, and since there are so many programs you have to start narrowing them down by where you're willing to live.