use a strop or flat piece of wood coated with buffing compounds (1 black, 2 white, finish with green) and strop the bevel. you can even skip the black and white compounds and go straight to green although the polish will not be as fine as if you had used a progression. I am sure high quality diamond emulsions could get a similar result although I don't have any experience using them.
if you don't already have an assortment of buffing compounds, go buy some, they are reasonable considering they will typically last you a lifetime and you can also use them to polish any metal to a mirror shine.
If you want quicker solution, setup a bench grinder with either paper or linen wheels and use the same buffing compounds previously mentioned.