Try a KickStarter......of course the Looking actors and staff would need to be on board with it. Not sure how HBO would feel about it, the "Looking" title may be copyrighted and those who wish to use it for a KickStarter project may get into trouble.
KickStarter has worked so far for Where The Bears Are web series. Every season, fans of the show have raised the money
(min $150,000) to produce the show(s). There will be a season 4 as they just completed the fund raising campaign for this year. This web series started out, paid for by fans. Not major studios. If you paid enough, you get your name in the credits and are part of the production. I think if a higher priced studio produced Where The Bears Are from the beginning, it probably would not have made it past the first season before being cancelled. HBO has given up on it and its fans but still own the rights. If there are passionate fans of Looking would like to see it continue, then maybe the fans should take it over, or at least make an attempt? https://www.kickstarter.com/projects/wherethebearsare/where-the-bears-are-season-4-the-gay-comedy-myster/posts/1172004