The static link is a good idea!
But my question remains how I can prevent getting restricted. I have already had two profiles, with somewhat similar CVs, in one where I'm called John Doe and in the other Doe John (my name makes permuting these less obvious). So I guess I can't keep going like this, because at some point my entire name and CV will be tainted after too many restricted attempts. I need to get it right the next time, to not be restricted.
Regarding the legitimate communications: I am actually positive about this, because a big part of LinkedIn are connections. If I (somehow) manage to have an account that doesn't get restricted within weeks so that I can actually add my peers, I will have a number of high visible and important people endorsing me (well known professors and researchers). That should give my profile a lot of value, I think?
At the same time it would not compromise my privacy, other than that a part of my professional network is public - but that is public anyhow since it can be derived (with some work) my articles, so not much is actually lost.
The only thing I could suggest is use a browser with very little or no browser addons running in a sandbox or VM and connect from a coffee shop wifi. Set up your profile then nuke that sandbox/VM. If the time comes you need to edit your profile repeat the process.
All of that said I would not expect too many legitimate communications to this anonymous account. Recruiters, debt collectors and investigators pay to see more data on LinkedIn than others and will avoid unverified accounts. They can bypass most privacy settings. The automated bots would still reach out giving the appearance this setup works. Their system can also detect VoIP numbers.