I would avoid oven cleaner, it contains lye. If it dries, it will turn the wood black.
There are a lot of options: mineral spirits, Dawn dish soap, Boraxo, solvent, boiling water, you name it, people have probably tried it. My favorite was always a generous amount of mineral spirits followed by Dawn, then let dry and finish with TruOil. If your stock is just black and grimy, you can use Scott's Liquid Gold and a fine ScotchBrite pad.