Snakeskins for your tarp! (Mine are made of $1 bin mosquito netting.)
I use tarp tie outs to the trees w/ very small figure 9's and 6" shock cord tensioners. Mason line for the stakeouts.
With snakeskins, start at one end, wad up the corners, drape the line into a fold, roll/wad up the corner to the ridgeline (in my case w/o a ridgeline, the top seam of the tarp), pull the snakeskin over the end of the tarp. Move out another foot or so and wad/roll/drape another few feet, pull the snakeskin further. Go to the other end, repeat. Unhitch from the tree, shove it into a mesh stuff sack (i actually use a mini black bishop bag for this). For my 10' tarp this takes at the most 2 minutes, usually less.
Next time out, tie off to the trees (while in the snakeskins), step back and check that it is centered like you want it, use the centered tarp as your guide for hanging the hammock, open the snakeskins and all the line falls untangled to the ground.