Boaty Ball is an issue during prime season and especially on Cooper & Great Harbour given the high number of BB relative to FCFS and lack of anchoring alternatives. You are wisely skipping Cooper and I would recommend Little Harbour or Diamond Cay (our favorite) any day over Great Harbour and taxi to Foxys if you want...

I pull up webcams to see how the harbor looks (e.g. Cooper, Foxys, CGB) and look at boaty ball the weke before to see how quickly they fill up...weekends are easier at the prime spots...

Maybe head to Gorda Sound and then taxi to baths with dinner at Coco Maya?

Anegada is great...you can anchor there if no moorings

all IMHO...