I really don't know if there is anything like this. I originally wanted a fanfic challenge by drawing to glee names our of a box and trying to write a oneshot, but I epically failed at a ship I can actually see happen in some universe (Sam/Kurt) so I knew if I got a weird one it would never happen. I found it fun though, so I thought I'd come up with something that is less challenging and just for giggles. One person will pick two names preferably at random(only redo if it's an extremely common ship i.e Finchel, Klaine, Brittana, Jarley) and the next will write a one or two sentence summary of what a story could be doesn't have to be a romantic ship it can be a bromance, friendship or whatever. Then they pick two names.

Example
Poster 1: Artie and Rachel
Poster 2: After causing Quinn's accident Rachel felt that with Artie's help she'll be able to find a way to help Quinn with out hurting her pride.

Unique and Sam.

I don't know if this will work most likely it'll be a failed experiment but it might be fun.