Honestly, the time to get sell of ANY VHS tapes and get any kind of money for them was about 15 years ago. No one buys them anymore.
Some libraries check out media, or even have media stations for patrons to watch on site (EG Media stations with head phones along with a TV and VCR/DVD player). I would donate your Star Trek VHS to a smaller public library, or the library of a school, or a college\university, and your VHS player along with it. That way patrons or students can watch the tapes in the library. It might be especially useful if it were a library for a high school, college, or university that has film students or drama students.