I think I'd use something like a dab of JB-Weld.
Thanks for all of the suggestions.
I like the idea of JB Weld.
I am reasonably sure that is I force a good gap between those flange tips, clean them with some alcohol, then ad a dab of JB-Weld, it would stick to them, and form down in between them to hold them apart, even if it didn't stick to the wooden tie beneath.
That stuff really sticks.