I think my corp (Tuskers) is what you’re looking for.
Historically, we were a low sec pirate corp, but most of us have found more fun living in a Class 2 Wormhole with a static NS & C5 for PvP & logistics/PvE respectively. We think this wormhole offers the best mixture of logistics & PvP - the direct NS gives us plenty of opportunity for fights (at the moment we are getting about 50-80 kills per day) and the C5 gives us decent logistics.
We’re a relaxed (no minimum activity levels, no CTAs, fly what you want, when you want etc.) mature solo/small gang PvP corp. We use out of game comms (Slack) to communicate, which makes joining fights even easier - a simple ping means when you do log on, there’s something going on. We use Mumble for voice comms.
We run a mixture of organised & impromptu gangs. 95% of our gangs are impromptu, basically a few guys heading out together or asking for backup.
Our first attempt at a Loki gang, we killed two carriers (http://killboard.the-tuskers.com/?a=kill_detail&kll_id=150891 and http://killboard.the-tuskers.com/?a=kill_detail&kll_id=150894) in <30 minutes and managed to get back into our wormhole before the locals collapsed it.
One week later, we took out the same gang killing a carrier + Rorqual this time- http://killboard.the-tuskers.com/?a=kill_related&kll_id=151387
The week after, we killed a Rorqual (http://killboard.the-tuskers.com/?a=kill_related&kll_id=151911) then had to extract as we got dropped by a bunch of supers. Afterwards, we tackled a Pandemic Legion Rorqual and gto driven off by 4 Pandemic Legion Titans & 3 Supercapitals which was fun.
Impromptu Loki gang where we tackled a Rorqual, killed it + its sub-cap defensive fleets with minimal losses, despite fighting 3 gangs simultaneously (RR Hyperions, Cruiser Gang, Dread + Rorqual) - http://killboard.the-tuskers.com/?a=kill_related&kll_id=152626.
Later on, we dropped on another Rorqual (see a pattern!) but had to let it go in 20% hull as it recovered with 3 FAXes repping it & 4 supercapitals shooting us. Despite that, we stayed on grid for 40 minutes and dropped quite a few fighters! http://killboard.the-tuskers.com/?a=kill_related&kll_id=152666
Drake roam gang, 11 vs ~60 people - http://killboard.the-tuskers.com/?a=kill_related&kll_id=153926&adjacent=1 + http://killboard.the-tuskers.com/?a=kill_related&kll_id=153866&adjacent=1
Faction Cruisers, 10 vs 68 - http://killboard.the-tuskers.com/?a=kill_related&kll_id=154376
You can find some more Battle Reports & details in our recruitment ad: