According to Billboard the first Surf song (Beach Boys' Surfin' Safari) hit the 1961 charts as #100.
Surf music took off the next year - 1963.
Dick Dale's Let's Go Trippin' hit #60 on the Billboard chart in 1961, and was #4 in Los Angeles. It was released in September 1961, preceding the Beach Boys' Surfin' by two months. Surfin' Safari was released, with 409 on the B side, in June 1962, and peaked at #14.