Obviously this is an opportunity to test the open nature of EVE (in more ways than one).
Start your own EVE dating service 
- Probably tons of iskies to be made with such a thing.
- You just might meet that special someone along the way.
- Anyone found through such a service is automatically not a "jealous of your EVE time" sort.
- Use a fansite sort of setup as a forum for it, that way you have your EVE downtime covered.
- ...
- Win!
There used to be a... how to put it... in-game "exoctic pictures" service called the Pleasure Zone or something like that. Paid with isk to become a member. Worked in the IGB. Perhaps you could setup something like that.

Or you could just set a long skill training and uninstall EVE for a month. Variety is the spice of life they say.