I've started doing this thing where I put two fingers on the spot just above where my collarbones meet in the middle, and push a little (gently, of course). And then I start talking/humming/singing, whatever, and try to get it so that I can feel that the sound is coming from that area. It seems to help. BUT I am not a health expert and whatnot, so I don't know if that could be damaging. Don't trust me lol I don't know what I'm talking about.
I read something that said if you hum with your mouth closed, you should be able to get it so that your mouth doesn't vibrate. If your mouth is vibrating, you're speaking/humming from the wrong place (if you want a deeper voice). So sometimes when I'm about to sing or speak, I do a little hum, and make sure that it's coming from a place that doesn't make my mouth vibrate. I dunno if there's any truth to this, but it seems okay for me.