Avast Thar Matey,
The guuitar strap will work, and it appears to be adjustable. It might be a bit long for an LT, but it also may be a bit wide for the LT (the humble Pyrate's opinion). Strap locks are not an issue. They can be removed from the current Zendrum strap and be retro-fitted to the new strap, or you can buy a set of strap locks and that way have easy access to both straps if you want them. My suggestion is to take the strap that came with the LT, go to your local Guitar Center store (or other music supply establishment) and compare the straps side by side. Hope this helps.
Fair Winds and Following Seas,