I just started running a campaign. I haven't run a RPG in +20 years. Ran them for many years. I am focusing on Fantasy Hero in a Sword & Sorcery setting (think Conan, Fafhred & Grey Mouser kind of world). Role playing is more important than combat. The story & characters are more important to me than the combat. I would say 50/50. Some sessions might be a big battle, some sessions not a single dice will be rolled for combat, and sometimes there might be a minor 'combat' as a plot device.
Right now there are just three players and myself. We are looking for 2 or maybe 3 players to join us.
We play on Sunday afternoons. I have pets so if you have allergies that would be a problem. If you are interested let me know and I will send you more information about game system (not D&D, Hero Games) and setting (which you can see online).