As mentioned above, rows of square bales held in place by t-posts on the low side with erosion mat on the upstream side will work just fine. The thing is, you must still have a place for it to run off, the key is to control the area and amount of flow through that area, potentially with a bed of rock for it to flow through. Also mentioned, you must get something down with roots that will hold the surrounding soil in place. There are many good shrubs that come to mind including willows, ROD, ninebark, and elderberry to name a few. You must also find a ground cover. As much as I hate to say it, perennial ryegrass might be your best friend in this location.