Not sure how long you plan to stay there, but I would either get her ears pierced before your trip or after. Immediate after there may be pain or discomfort and a high risk of infection. Swimming in the pools where there is little assurance of cleanliness along with touching things and then touching the ears would be a concern for me.
Maybe you could pick out special ear rings as a souvenir and once the initial pair can be taken out she could wear them? I know BBB doesn't pierce ears and I can't recall any other place on property to does either.