I find that an offensive idea. Death is not "prestigious." It's a sad and ugly and arbitrary thing. Dressing it up and pretending it's something glamorous and cool is dishonest.
Kirk gave his life saving others. He did his duty. That's all that would matter to him. It's already as "proper" as it could be.
Besides, "Yesterday's Enterprise" totally bungled its attempt to give Tasha a "better" death. First of all, the idea that there was anything pointless or unworthy about Tasha's death is offensive. She gave her life trying to save someone else. That's a noble and worthwhile thing even if she failed. Saying that it was pointless because she didn't succeed is an insult to every firefighter or police officer or rescue worker who died trying to save lives. Armus killing her was pointless, but Tasha giving her life was not. "Skin of Evil" portrayed the cold, arbitrary reality of death honestly rather than dressing it up with deceptive glamor and spectacle. Then "Yesterday's Enterprise" came along and tried to give Tasha a more "noble" death by sending her back in time -- but then "Redemption" gave her a far more ignoble, awful fate by saying that she was captured and raped and sexually enslaved to her captor for years... and then got killed trying and failing to save her own daughter, so basically she still died the same way anyway, but in a way that was far, far more degrading to her. By trying to make her death "better," they made it infinitely worse.
So, no, thank you. A "Yesterday's Enterprise" treatment for Kirk's death is not something I want to see.