Here are a couple of links:
http://www.lakecountryminors.com/
http://www.stbsports.com/
Neither of those sites have a 1985 Johnson City team set.
I used to collect minor league team sets and have a list of team sets that were issued each year. I do not have a 1985 Johnson City team set listed. It's possible that one was issued and I just never saw it listed anywhere and therefore don't have it in my list, but I tried to be as thorough as possible. On a related note, the first Johnson City team set that I have listed is the 1989 set issued by Star.