PMI is reasonable. I put down 5% on my first home, (<$20k) and commuted via train. Just get a cell modem and do your morning work rituals (email, news, etc) on the train. I sold that house 3 years later at 13.5% appreciation, with good equity on top. I used all of that towards the down payment on house #2.

Commute in from a small investment home/condo to let equity + appreciation get you into the home you want a few years down the road. Even in my starter, I got twice the sqft for the same monthly as my not-very-close apt.