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I dunno if it will still occur in the new version

But for version .82

Use Slipcor's Save fixer - the last version or one just before it (should say either player or horse something something)

The issue is replicated by physics and orientation due to the Carriage - Riding in the cart "perfectly" may not be noticeable after dismount

But when the cart freaks out even slightly, hits a bump, or freaks out alot, the screenshot you provided occurs very easily.

There's also times when you're so off-base, you're practically swimming (gliding) across/inside the ground

And the engine just isn't setup to answer that (yet)

Save fixer will absolutely fix it

http://mlbs.slipcor.net/