Anyone used a Taxi from Mahogany Bay to Arch's Iguana Sanctuary?

[tring]

We are due in Mahogany Bay next January and would like to go to the Iguana Sanctuary, but all the excursions are for at least half a day and include a tour to places further away, which does not interest us.  We see that it is only a few miles from the port though, so are thinking we should be able to take a taxi there and back, taking an hour or so and then spend most of the day on the beach.

 

It is only a few miles from the port, so are there taxis there which we can take and would this be feasible?  We would presumably need to keep the taxi with us and pay waiting time, so does anyone know what the taxi's charge for an hour or two?

 

Edited July 13 by tring