Dragonborn. It works perfectly. That way Bethesda in future games doesn't have to make a choice that would upset half of the people who play Skyrim. The kingsmoot was convened, and the Dragonborn, slayer of Alduin and Harkon and Miraak, is chosen as king. Sure if he's an assassin and a thief he's not that great of a person, but few good assassins and thieves are widely known as such.
My dragonborn should be High King because I want him to be.
Seriously though I'd probably go with Jarl Balgruuf. Dude's got to be the most level headed Jarl, and is the only one who is totally adamant about not picking a side in the stupid conflict between the Empire and Stormcloaks.
Perhaps under Balgruuf the two sides could come together and pool their resources to rebuild and eventually take on the Dominion.