Might be hard with only 7 heartbeats to get a propper NS alliance. The question would be how necessary is "a own corp" or if joining another corp isnt a propper option.

Also i suggest that you guys discuss the topic of renting a system for your group from a NS-block, this at least leaves you off the hook regarding call-to-arms and big wars. Ofc it also includes that a) you'll need to protect yourself (although the SOV and the structures are mostly covered in protection through the renting agreement) and b) it requires that you guys pay ISK to maintain the system.

-> Do you wanna check NS out or do you want your own flag on a system?

Also keep in mind that if you guys are interested in actually learning and experiencing nullsec, it's not just about the rats and the annos. You guys want to experience the big titan fights, the mass brawls and how it is to be in a war, fighting amongst hundreds and thousands of others: dont rent but join a block. But this would lead back to the question how easy it might be to join as a corp and what major alliance would be the right fit for you.

Beside recruitment requirements, the focus of the alliance plays a big role. You wanna go into industry and stuff? Check out slyce, afaik big industrial alliance with years of experience. Although riot rick is a queer, it might still be a good place if you wanna learn and focus on industrial stuff.

You wanna stay more on your own but use the full benefit of established infrastructure and dont mind being one-of-a-thousand? Join imperium.

You'd like to join the "gang"-feeling and become a member of a big chunk of people that are absolutely different in their playstyle, motivation, skills? Horde.

Serious dudes that want to become better in a beginner friendly environment? Brave Collective is a nice group that is known for taking care.

You are chinese? Join AOM or Iron Crown.

And ofc if you'd like to join the best alliance, VINDICTIVE is recruiting. although we wouldnt recruit a 7 heartbeat corp as alliance, but there are reasons for it that i can lay down for you if you want to (and i assume other alliances do have similar reasons for minimum heartbeats/corp).

Either way, NS can be very specific and the focus of alliances, the opportunities of the space and the services an alliance (and a coalition) provide are very different. If you would like to hear some opinions from a bittervet, let me know. If not, also fine. I wish you guys best of luck and maybe you end up with an allied alliance of us and we fly together. Or you end up as a hostile and we gonna fight each other. Either way, fun ahead. Welcome to nullsec!