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Just checking, could you be dragging an emergency brake shoe? Is rear brake area hot to touch? I don't think you mentioned where the smell seems to originate.
Not related but reminds me of the time I was out for a short drive. Started to smell something burning. Questioned myself maybe I'm dreaming. . . Until I saw smoke coming out from hood area! I got somewhere safe and opened the hood, fearing the worst.
Turned out the paper towel I had just used to check the oil level had worked itself free from being stuffed behind something (figured I could use it next time)on the side and fell down by the exhaust manifold - started to smolder. Scared the *$#% out of me till I figured it out.
Hope you find yours soon and it turns out to be nothing.
Had a faint smell of oil here too. Quick and easy check to see if the cam cover gaskets are leaking. Run a paper towel under the edge and check the heat shield tray under neath.
Yep! Fresh oil on the towel. I’m getting a faint leak.