When you said you tried looking up your info in these states, what steps did you take? Please be more specific.

If you just looked up for warrants in those states , that's not diligent enough. You need to find out what happened to your speeding tickets.
You need to find in which jurisdiction did you fall into and that's associated to the closest town near the highway you were stopped.

Also, if you were stopped by a state trooper then your ticket is under the jurisdiction of the state - not the local police dept. so it's a different beast.

You need to figure out what/who you are dealing with.

Start by contacting the local police dept near where you stopped. Contact the state police of where you were stopped as well. Try giving them the date and time of the speeding ticket (if you remember), your license info, your car plate, the officer's name who gave you the ticket ( if you can remember).
If you can find them, settle them and the matter is resolved. If you don't , it will eventually get to you.

This can turn out very ugly.
You need to be very thorough in your search and I can't tell how thorough you were if you don't tell us what you did in your search efforts.

If you have dirt under your name, you have to go after it and clean it up asap. Don't be passive and do a half baked search and expect them to come at you because sometimes, they won't.

Some courthouses are staffed with lazy crooks.They won't make a decent effort at notifying you of your ticket. They will let people's tickets sit unpaid and balloon in size by tacking all sorts of fees to them.