I don't get it. The OP says he has a BA II and wants to know if it's pre-grooved.
Hmmmm ... have you tried, oh, I don't know ... looking at it ???
Pretty simple. Either there are grooves, or there are no grooves.
Edit: I believe there were some pre-grooved BA II's made, but they were sold to Fender as OEM for the Highway 1 series.