In my opinion, KK getting reraised huge at this level is USUALLY up against AA. Definitely not always, but very often. I would say around 70-80% according to my experience. Sure, you might be a favourite in this spot, but I think the chance that you are a big dog is higher. Couldn't you throw this one away and wait for a better spot where you are more certain about being a favourite than pretty much taking a very uncertain gamble for your entire stack? It is weak, yes, but at this level I don't think you really need to take every shot of being a favourite since your opponents make so many other mistakes you can explore.