I was at Martinez Lake on the Colorado River, about 40 miles north of Yuma, during Spring Break, 1967. The local rock station was playing a lot of tunes by the Monkees, but I don't recall any Rolling Stones songs.
As far as the fishing went, we pretty much got skunked that year. The next year, 1968, I caught a good-sized channel catfish.
https://www.youtube.com/watch?v=pMf9MsR_Jqo
1964 recording of Stones performing Berry’s “Reelin and Rockin”
Just one example of a British Invasion group, doing R&B.
The Brits really did much the same thing that Elvis and a few others had already done, a few years earlier, and slightly different music styles.