If you can carefully remove sections of the clump with at least 2 culms with the rhizome intact, you should be able to transplant these sections to your forest area and start new clumps. It sounds like you will taking the sections from a large mature clump, so you have a good idea how large your clumps will grow. This should help you space out your clumps and plan your forest. I dont know about using heavy equipment to dig into the clumps, but it should be no problem if you can do it without damaging the rhizomes. Make sure you water the new clumps very well after transplanting. Regular watering will also help your new bamboo clumps grow faster. Since you are starting with large culms and rhizomes, you should see some fast growth from the new clumps. It would also be ideal for fast growth if you could get your bamboo clumps transplanted in the next few weeks so the new plants can recover before the late summer when many bamboo varieties in Florida tend to have growth spurts.
I would discourage planting running bamboo varieties. Although a running bamboo variety may spread faster, you will probably see faster growth in size from the clumping variety. The runners are very difficult to contain also and can spread very easily to places you may not want the bamboo to grow.