I travelled by greyhound, one of the worst ways to travel...bumps were prevelant among other things.
oh god, brings back nightmares of my greyhound days..from NY to arizona and back..Im assuming things havent changed sine 1998?
anyways, I took my fish from Alaska to New York In January. And trust me, no road can posible be any worse then the Alaska Highway in winter.
I kept mine in cups since it was a 5000 mile journey but if you are only going 30 minutes away, I dont see why you can't do as Mr. V says. Put them in fish shipping bags and pack them with those annoying packaging peanut things. I had to hold mine in my lap the whole *(&*&* way since it was VERY cold out and very cold inside but this time of year, I dont think that's an issue - especially since its like 90F here right now and I am in northeast NY.
Either way, if its a bumpy road, he is gonna get tossed around some.
If you only have 1 betta, I dont see why you can't hold him. That's like the time it takes me to get one home from the petstore.