I personally think he'll be fine. He only ever wanted Yuki to be happy and live her life and she did. She lived for more than a thousand years and she even had two daughters and her dying to make him human was her way of saying "thank you" to him for everything. As for Zero X Yuki, Kaname's last words were that he wanted them together so I think he would be happy to learn that Yuki and Zero did get together.
Kaname had a rough life from the start and I think Yuki wanted to give him another chance at life where he could finally be happy. I'm sure all the things that brought pain to Kaname when growing up (the whole vampire and pureblood duties/issues) are not there anymore when Kaname wakes up cause I think Yuki dedicated her whole life to bringing peace between vampire and humans and ending the traditional vampire ways plus Aido was able to find a way to turn vampires human. Kaname can finally live his life and be happy, hopefully along his daughters.
There's no reason for him to suffer for eternity cause, despite the hardships, Yuki was happy in the end.
I still can't get over the fact that Zero is gone and Yuuki, too. Kaname will never be able to see his beloved again. I want him to remember but I also don't want to. Imagine the pain he would suffer from for eternity if ever he become a vampire again and regain his memories... (/TДT)/