Are there any drop boxes or offices for Fed Ex or UPS on the island? If so where are they located?

Just fed ex at Rocargo on Kaya Industria.

ups is located on kaya nikiboko noord

And FedEx will pick up your package to be sent, as long as you give them notice.....I think you have to call by 3:00 PM, if the package is going the next day.

I strongly recommend not using UPS to or from Bonaire. I have several experiences with them, all very bad. I'll tell you all about them off list if you like.
All problems have been to Bonaire, I've not tried sending from here via UPS, but anything will go via Curacao, giving one more opportunity for delay and loing things..
FedEx and DHL have both been OK both directions.

My experience is that DHL is best. However they have stopped domestic US shipping partnering with UPS. From what I know they still are in business shipping internationally. However I am confused how to use DHL since it would leave a US location as UPS. It is probably worth a question to DHL / UPS.

ups is no longer at Niki Boko nord...seems that no one really knows even if the still have service here.

i agree that the ups situation is confused .. however i just paid an invoice at noord nikiboko last week for a delivery to the marine research station .. what was explained to me is that the personnel providing the delivery service went out of business and that temporarily ups is being handled by divi divi airlines .. that was last week .. Micheal .. we know how it goes here .. ..

UPS do have an office here, it is in Kaya Nikiboko South, in the same building as Unique Image.

not any more...

if you want ups service you must contact the manager of divi airlines - luciento cicilia - who is temporarily acting as the service provider .. of course this is bonaire and could have changed as i write this .. good luck