Welcome aboard. I would think the Chevy with a 350 would be adequate
for a vintage 24 footer. Just make sure the rear is geared for towing and you may want to invest in a tranny cooler. Take a look in the restoration forums and you will find all kinds of information for your impending Airstream refurb. There are a lot of folks here on the forums from Texas so a helping hand probably isn't that far away.
You think 24' is long, try a quad cab 8' bed and a 34'er, now that's long.
They are all pretty easy to travel with. Low center of gravity and shape contribute to their docile towing manners.
Post some pictures of you Airstream so we can all see what you've got