I think Federal Premium still has a 110 gr .30-06 ammo that uses the Barnes TTSX. It will be expensive if you can even find it.
Another question is, will your rifle shoot that bullet accurately? Most .30-06's are a 1:10 twist, which is a bit on the fast side for a 110 grain bullet. You might get OK accuracy with them, or you might be all over the place.
If you must use a .30-06 for coyotes, I recommend a standard cup-and-core 150 gr bullet. They're easier to find, more likely to be accurate in your rifle, and cheaper. Remington, Hornady, Federal, anything you can find will work. Coyotes aren't that hard to kill. If you are wanting to save/sell the pelts, the .30-06 will be a dismal failure.