When I'm recording a sequence and wish to have a specific progression in the Bass part, I use a separate track for the Bass part. This allows you to do exactly what you want in the Bass part of the sequence.
Incidentally, even if you wish to use one of the built-in styles, there is a way of achieving this result as well........
You need to copy the style into the Composer and then you can edit the Bass part in such a way, that all, or just one or two of the notes can be programmed to ignore the chord being played in the left hand. This would allow you to have a 'C' note - or indeed any other note - play when you finger a Dm chord.
It does mean that your edited style would only be suitable for a particular tune/song.
If you want more details of this method, just ask