In Miami it is done all the time with a three pronged hydraulic machine that cuts into the soil and lifts out the root ball. Next they wrap the root ball which is circular with burlap. Hydraulic crane lifts it on to a flat bed truck where it is tied down for the move.
crane removes the tree, stands it up and puts it into the hole dug in preparation. Nearly 100% survive the transfer. In the DR you could do it if you have sufficient Haitian labor to dig the tree and get it on and off the truck. You will need a block and tackle and a Dom person who has done it before. There are lots of palms here. Someone must have done this.
Your staffing model amuses me: "Haitian labor" and "a Dom person who has done it before"
Valuable info JDJ....
My helpers too were Dominicans..... I drove the Jeep
Remember, Florida has no indigenous palms...... all imported