Quite frankly if he agreed to transfer it, I'd tank your page.
Otherwise, if it's a person that you either know and/or trust, finding someone that doesn't run the site to run the Facebook arm of your community is the way to go considering that one of them will be neglected. (As you can see, I'm lucky enough to work with such people)
I personally view Facebook as a way to engage the casual fan of your game.
There are tons of people that are interested or nostalgic about Tecmo Super Bowl but would never have any intention of visiting a site about it but do visit Facebook.
They might however be people that are friends with others who might be interested and simply don't know about the existence of the site.
This and dee-nee.com have always been a community I've kept an eye on. I still can't figure out why there isn't a NBA Jam or NBA Live 9x sort of site out there.