I haven't heard of the play you're talking about, so I'm not sure how much help I'll be.
First, is it possible that it was written locally? Just a thought.
Anyway, a net search did turn up this one:
Father Figure It is a one-act comedy with 2 men and 1 woman about a blind date, but I didn't see a rose and the only father is in the title.
This site has a
huge list of one-act plays, but, skimming through the listings for 2 males and one female, I didn't see anything that matched your description.
I also tried searching there for plays with "Rose" in the title, but found nothing that matched your description.
This site also has a good number of scripts, and a searchable databse. I didn't find anything there, but maybe you'll have more luck.
Sorry I can't help more. Hope something here helps.
Paul