<<I understand that only civil acft in emergency may be given an SRA>>
I'm not sure if I've taken this out of context, but be assured that SRAs are used by civilian ATCOs thousands of times a day, and many, many of them will be outside CAS.
As to the original question, I'm not aware of anything in writing preventing ATC from offering an SRA to a VFR pilot, but suggest that if it was due to bad weather then the pilot should request it rather than be offered. In an emergency any procedure which might help should be employed. Of course, many VFR pilots carry out SRAs for practice in good weather.