250 miles east of Bridgetown
Declination is controlled by the season, so we can ignore the part about 22d 7m - that just confirms that its Dec 3rd, more or less. So what you have is a sun sight with with an altitude 55d 30m which puts you at 12d 25m N lat, at 15:30GMT local noon which puts you at 55d W lon. Disclaimer - I know next to nothing about this. I just have the whole internet at my disposal and a few extra minutes before I head home.