Found a real answer to the Markarth glitch:
-Get a real bounty amount first, doesn't matter how much.
-Run to the Shrine of Talos. You can bypass the other guards by asking them to take you to jail, then dipping out of the conversation and bolting.
-Get conversation aggro'd by a guard in the Shrine of Talos. The other guards might be attacking you during this.
-Ask them to take you to jail, you'll have a new dialogue option: "..."
-Follow that dialogue tree.
-Get convo-aggro'd by them again, pay your bounty. You'll spawn in the city minus stolen goods, and the glitch is fixed. Seems like the guards themselves inside the Shrine are the ones causing it.
EDIT:
Why aren't any women hitting on me >_>? The only responses to the Amulet of Mara I've found are dudes. I married Marcurio, just to find out he won't be a follower anymore. Reloaded, keeping a long engagement with him, I guess.