Need solution for tongue box latch

Teardrop is all done. I bought it in an unfinished state and have done everything at this point. One thing left, it's minor but wondering if anyone has a good suggestion for how to pull this off? Please see photo. The tongue box looks like like a pirate treasure chest and has a mortised latch in place that works and has a key. The problem is that there is no catch. Hoping you can see what I mean in the photo. The real problem is that I cannot see exactly where to put a catch with the lid closed (X-ray would help). So, clearly I need a catch and an eyebolt seems like a potential solution but in order to have it catch just right, I'll have to glue a block of wood on the inside of the top lid with the eyebolt in just the right place so that when the lid is closed the latch in place will catch the eyebolt. The idea seems fine but getting it just right, working inside the lid etc., is like trying to cut the back of your hair with a mirror. I also thought of draw latches on the outside (padlockable) and I think I could get them to work OK but they'd really destroy the nice look of the outside. If anyone has a creative suggestion - or any suggestion, I'd really appreciate it. Thanks.
