why not just plan to host a game day with a prescribed agenda and invite people to attend. "Coming next Friday, at my house, I will be hosting a game night. Games planned include: ZOMBIES!!!, and Betrayal At The House On The Hill, among others. Please RSVP if you are interested and able to attend.".
I agree on all counts. The invitational game day would also allow the host to bring in some new blood, which is a good thing because even one or two new players could change the group balance in the long run so more of the host's preferred games could hit the table with greater frequency.