The bead on the open end of my whoopie sling has gone missing!

It is not down in the tightening section (I'm not sure of the technical term here, sorry) so all I can figure is that I somehow broke it off.

I'm not about to tear it apart to replace it, so I am looking for a solution I can use without doing so.

I figured the easiest thing to do would be to just leave my carabiner that goes on the tree straps on all the time.

Any other ideas? Do they make titanium beads?