setting up someone on a date?

my best friend just got out of a 2 year on-again, off-again relationship about a week (and a half?) ago and she cries every night and I feel really bad because I just got engaged. Her ex broke up with her because she's too tall for him so I stopped showing up with my fiance because he's too tall (6'6") and I'm too short(5'2") and he doesn't care whether people are watching, he loves making PDAs so that would be like a slap in the face for her. I want to be with both of them at the same time so I'm thinking of setting her up on a date with my fiance's friend who also just got out of a 6-year-relationship 2 months ago. Would that help them both move on so we can all hang out together? or is it too early?