If you have internet access, "criminal defense attorneys in $CITY" is a good start.
Neighboring cities/counties might be good too; when I needed a criminal defense attorney, everyone in town jumped straight to plea bargains. My out-of-town attorney got both felonies dismissed, but it took about six months and upward of $5k. Be honest about not having the money, and they will probably work with you on a payment plan.
Court-appointed attorneys (or public defenders) are likely to be seriously overworked and underpaid, and are more likely to try brokering a plea deal than to actually give you the defense you deserve. It's sad, but it's probably true in most of the US.
Since there seems to be no real evidence, I wouldn't expect it to go very far once they realize you aren't going to plea. However, I wouldn't rely on that. My own trip through the "justice" system has led me to realize that, "there is no justice, just us," isn't just a snappy line from a book.
Domestic violence often isn't "only a misdemeanor." It's a misdemeanor that costs you your gun rights and precludes you from working as a care provider for vulnerable people.
Those might not be a big deal to you, but prospective employers and professional licensing organizations are also likely to consider it, and it may have an effect on housing. Being convicted while in school, and especially in school housing, you might even have trouble with the school.
Since professional pilots are charged with the well-being of their passengers, I really wouldn't want to risk conviction, never mind accepting a plea.
Basically, it's felony-lite.
You've been accused of violence; anything you say about your accuser is worthless and likely will be dismissed as retaliatory. If a genuine concern existed, a reasonable person would have come forward before being accused of a crime.
Also: I find myself saying this far too often, but this isn't a movie or a TV show. That you were not mirandized probably means nothing, and has no bearing on the admissibility of any statements made while you were not in custody.
Also, Nyosuht, it is illegal to conceal carry here. For anyone. It is actually even illegal to carry a weapon publicly, unless you are a law enforcement officer. And even they mostly don't carry guns.
Less guns on the streets = less guns in the hands of someone who might do shit.
It does appear that carried weapons must be concealed, so maybe you've just never noticed.