Hey, @Tjup_Melle! I just started a corp to run public PVP fleets - so perhaps this is something for you: New? Old? Alone? Don't be - join Puffin Squads - Home of the Underdogs
We are a relaxed group and know all about RL aggro - the corp just started out, but with public fleets and the new members there is always something to do - check it out 
Cheers,
Mad Librarian (MadLib)