From davits?  My advice would be to through-bolt padeyes through the bottom of the Eastport Pram.  Fasteners countersunk into the external bottom skids.  This would be so strong that it will pass the standard dinghy-in-davits test:  a dinghy full of rainwater.

I think I would through bolt a reasonable size padeye, with a welded ring, on the inside of each transom.  I would use another padeye on the exterior of each transom as a backing plate.  The exterior padeyes could be used as an attachment point for a painter for towing, and at the stern it could be used for a stern anchor if you didn't want to drag the boat up on a stoney beach.  I would place them just low enough so you could two-block the tackle on the davits, and pull the dinghy tight to the underside of the davits.  I would also install some sort of drain plug, either in the stern transom or in the garboard, which I would leave open whenever the dinghy is in the davits.  I saw a boat arrive in Provodenciales, in the Turks and Caicos, that had a wave hit dinghy in davits, and took the dinghy, one davit, and about 18" x 18" of deck and backing plate.  I don't doubt that the Eastport will stay together, but will your davits and stanchions hold up?