It's perfectly possible to do a good job on a narrow hone. It's even a benefit if the blade has issues, such as warping. It does take a greater degree of skill to keep the blade flat though.
BBW's are not the fastest hone, & i would recommend something a little larger, or it'll take an age!
You can pick up a BBW far cheaper than a Coticule, so see what the vendors are offering 1st.