Ink, tossing queries to the wind is my specialty.
I've gotten requests from agents I didn't think would be interested. So long as there is a tangible reason to query them then go for it.
For example, Agent A doesn't list YA on the list of genres we see on QT, agentquery, etc., but you know that the agent reps a YA or has requested a YA project before (based on QT info perhaps) then query Agent A with your YA project. The worst that can happen is a no.
I'm somewhat in a similar situation, Ink, but I've deprogrammed myself of the angst. I made up a query list of about 160 agents that rep YA or who have requested my work in the past. I'm halfway through and have 3 fulls outstanding (don't feel good about the prospects of any of them, though). So starting the new year I've sent out 15 thous far and will be sending out 10 a week going through the remainder of my list. Yes, the odds of spurring interest with the bottom of my list is low (if I thought there was a good chance I would have queried them earlier), but I've committed to do it. That personal commitment trumps my anxiety and self doubt. I owe it to my self and the project to see it through to the end.