Don't rule anything out.
Two of my three last jobs, I was completely wrong for on paper -- they required competencies I didn't have -- and the third, I fulfilled the minimum qualifications but the learning curve was hellish.
I applied for, interviewed for, and was turned down for at least 20 jobs I was perfectly qualified for, where my education and experience was a perfect fit. When I left my last job, I applied for an almost identical position in another state -- and didn't even get past the first screening.
What I'm saying is -- there seems to be little rhyme or reason to hiring decisions, so don't limit yourself. Stretch, and you may be surprised...