You have the same GPA as almost every other AA program applicant, and a GRE score that's even lower than what most have.
You did a research project... whoopee. Most AA program applicants are mature adults in their late 20s/early 30s who have at least 5 or 6 years of meaningful life experience that carries MUCH more weight than some cookie-cutter student research project.
You shadowed a few AA's... big deal; everyone does this just to be eligible to have their application reviewed.
You volunteered at a hospital... big deal; anyone who has a serious interest in pursuing a career in ANY medical profession does that and more to display their eagerness to care for patients. You make it sound as if it represented nothing more to you than an item to be crossed off a list of "pre-med" pre-requisites.
To answer your question, no: you are absolutely NOT a competitive AA program applicant, regardless of where you apply. You're like a run-of-the-mill template pre-med student who has done nothing but fulfill the most bare-bone, minimum requirements to have your application reviewed by the admissions committees.
If you were actually serious about pursuing a career as an anesthetist for the RIGHT reasons, you wouldn't have waited until a month before several programs' application deadlines make inquires regarding how your application can be improved.
I can't believe that THIS is the caliber of applications we are attracting to the profession nowadays. The AAAA desperately needs to enact recruitment measures that will garner the interest of a much, much, much higher tier of prospective applicants (such as one that includes engineering majors, biochemistry majors, etc.).
I imagine that within two months (assuming your application is even complete before the deadlines), your rejection from every AA program you apply to as well as from this profession in general will be confirmed. Therefore, I will not waste anymore time explaining why you have no business pursuing this career... and, without a doubt, no chance at gaining admission to a single one of its training programs.