A local company was using a telehandler to raise a steel building. The members were simply slung with nylon straps, a load shifted, sliding in the nylon strap cutting it, the load all went to one strap laying the telehandler with the boom extended over on its side, no one was injured, the boom was bent. They were lucky.

"Gravity is always serious" decisive and quick.

You will want plenty of room around the building for the telehandler, it great for moving material on the ground but not ideal for swinging loads.

How big is this frame?

Block and tackle with a gin pole?

The deck crane looks interesting. Is the capacities within the scope of the project?