The whole point of the Venditti run is to end the reincarnations, though. They're done. They don't get anymore. They were given one last life as a reward, but when they die, that's it. At this point the only way to do it is to say it's a reincarnation that was in the future, but that complicates the Hawks again.
Just make a new Hawkman at this point. They
finally fixed it after 80 years. I'm more than happy to have another Hawkman but I think Venditti's run has been so good I want it to actually stick.
Dope artwork, by the way.
I'll add one I found on Twitter. Art by Dan Hipp.
Attachment 101209
It's a fun style and I dig the pauldron. I could go for an animated show about the Hawks in this style, though the first one you posted would be ideal if they were trying to appeal to a wider age range.
Found it on Tim Board (probably the world's most devout Hawkfan)'s twitter where he posted this repository of artwork regarding a black Hawkman following the casting announcement.
https://flytohawkworld.blogspot.com/...s-hawkman.html
I can't wait to see Aldis Hodge as Hawkman. I never thought I'd live to see Aquaman on the silver screen, let alone Hawkman. What a time to be alive. Hodge is going to be great if they give him the material to work with.