o7
In case you didn't know, there is an option to submit/create a player made faction but playing the BGS isn't everyone's idea of fun. It tends to be the end-game for those who have done it all. You may find a beautiful system, only to find that you're next door to a big player faction who will never let you own a station in your home system. There's also the issue that there is a fair old waiting list and your faction name generally needs to tie in with the in-game lore.
If you are just looking for a place to hang around, I have been doing my bounty hunting in the Nerthus system. It's got a handy starport right next to each of the 4 types of RES sites. It's an Empire system, right in the middle of occupied space- not far from Sol. Not to mention it's next door to the Two Ladies system, with the best 2 named factions ever: The Two Ladies Boys and Unified Two Ladies.
I'm usually around Teaka, home of the Teaka Elite Altruisitc Bagging Cooperative. \o/