He'd probably tell you to go pray some more.
OK. As a brand spankin' new Catholic woman, I really shouldn't be giving advice to anyone about anything Catholic related, let alone anything having to do with the priesthood. So, please take everything I say with a grain of salt, and listen to what everyone else tells you. Here goes nothin':
1. I think you have to take a deep breath and trust in God. If you don't trust prayer to lead you, then you don't trust Him to lead you.
2. As useful as it would be, you're right that prayers aren't normally answered through lightening bolts or letters taped to your door; however, prayers do get answered, though perhaps not in the way you first expected them to be. Haven't you felt led or guided by the Holy Spirit before? Think about how that feels.
3. If you don't think your prayers are working, maybe change the way you pray. I recommend time in Adoration, either before the Tabernacle or the Exposed Sacrament. I've been doing this for an hour a day recently, and it's generally one of the best hours of my day outside of Mass. Talk to God, ask for answers, do whatever you need to do. Then try to "listen." Just put yourself in a receptive state of being. Be patient. Keep your eyes and heart open.
4. I highly doubt a priest would tell you whether you do or do not have a certain vocation unless it's something really obvious (like, you're a woman and want to be a priest). My totally uneducated guess is that he would ask you why you think you may have a religious vocation. You'd probably talk a little about your feelings on being a priest versus being a husband and father. And he would probably tell you to go pray some more.
5. It doesn't sound as if you have a Spiritual Director. Have you considered getting one? I'm not really sure what Spiritual Directors do, but my priest recommends them, and they seem to get suggested whenever someone has a serious question.