There is a pool at Oil Nut you could visit if looking for that while at BEYC.

We were there a few weeks ago with our kids, here is a list of the pools. It was nice for them to have the option. Although we had a few flex days in our itinerary and the kids (all three 5, 9, 11) chose to go back to Ivans in White Bay over the pools.

Leverick
Oil Nut
Top of the Baths
Scrub
Anegada Beach Club

Scrub is by far the best pool. Has a fun waterslide.