saw your post and wanted to reach out. What you are looking for lines up fairly well with what Black Rose offers.
We are mainly US timezone, and during 00:00 to 06:00 we usually have around 20 people on comms. Some nights are quieter and some are busier, but you will not be logging in to the same three voices every night.
Our PvP activity picks up on weekends, which fits what you are aiming for. During the week people are mostly focused on industry, mining, and their own projects, so your plan to swap between PvP on weekends and indy during the week fits fine.
We have the setup for Rorq boosts, mining alts, and capitals, and your accounts would have a place to contribute.
If you are moving assets out of lowsec and just checking your options, that is completely fine. If you want to talk more or check us out, I am around.