Reroute water around garage
Both of your plans will work to keep water out for a while. I would trench to a lower area and use some rock it will act as a drain, the only problem will be after years of use it may plug with soil, grass clippings and other organics but if I'd dosent freeze it will work until then. A bump that is sealed will stop water but you don't want standing water there it will rot out the wood. Try the gravel first hopefully you have some grade away from the house and the gravel will make a nice drain.