Yes, I have a suggestion. You could build a little (and inexpensive) 555 timer IC-based circuit, and it would allow you to have some control over the time delay also.
You should be able to fairly easily do a web search and find a "555 timer delay" search result for the circuit or similar.
Very common IC. I mean, it might be overkill to use a serial-port based device.
If you don't find it let me know as I still have an old Radio Shack 555 timer design mini-book at home.