Carol should put her profile at an online dating site.

Its easier for men to "chat her up" online (Option 1); and not feel too bad when Carol rejects their move (Option 3). Essentially, Option 2 becomes a non-option and Carol would have more men approaching her and to choose from.

Anecdotal: I saw this girl online. I considered her "out of my league". But what the heck, I picked Option 1. Now we are engaged. If I had seen her in the real world, I would have picked Option 2.