Newcomer looking for Safe 1BR Apt

Good Afternoon,
My husband has accepted a transfer to the Main Post Office in Charlotte Amailie. We are looking for a one bedroom apartment rental in a safe area, that allows dogs. We will be one the island Aug. 19, a week before he starts at the new office. We are moving from Columbus, OH. I will actualy be returning to Ohio after a 6 day stay, to finalize the sale of our house. The dogs will not arrive until I return. Because we will be maintaining two addresses, affordability is also key. We are looking to stay under $1000.00 per month. If you have any recommendations, we love to hear from you.
Thank you for your time,
Melissa & Tom