I've always used a lightweight carabiner instead of a toggle on the tree straps. I attach the carabiner onto the tree strap using a MSH.
Normally use a Whoopie Sling clipped into the carabiner and the other end of the whoopie to the hammock - so tree straps can be shorter.
If anyone finds a climbing rated carabiner weighing less than 23g (C.A.M.P. USA Nano 23) please let me know. HYOH!
"Climb the mountains and get their good tidings.
Nature's peace will flow into you as sunshine flows into trees.
The winds will blow their own freshness into you, and the storms their energy,
while cares will drop away from you like the leaves of Autumn."
— John Muir