Of the 12 songs on the compilation LP Hot Road Rally, four are instrumentals. I think the singers and groups on it, calling themselves Shutdown Douglas, The Super Stocks and Hot Rod Rog. were all studio musicians. The album came out in 1963. You’re right that there’s not much of a line between hot rod songs like this and surf music. The prime entry in both categories would be “Little Deuce Coupe” by The Beach Boys.