Using a 1:1 balun as a choke

My 1/4 wave vertical whip has some nasty common mode current issues. I have some T200-2 ferrite cores. A little bit of digging turned up this design for a 1:1 balun based on this toroid.

Is this likely to do the job and fix my CMC problems?

Why not just fit a common choke on the feeder?

I will if I can figure out how to make it with a T200-2 and some wire…