Illustrator :: How To Prevent Brush From Being Reapplied To Line Segments

What I'm doing is applying a brush to a line-segment and then dividing the line segment up into pieces of varying lengths using anchor points.

What happens that the long line segments show the brush perfectly, but the shorter line segments are "squashing" the entire brush into one short segment
 
So for example I'm trying to create a logo with hand-drawn lines - the longer pieces of the logo look perfect with my brush, but the shorter pieces are squiggly because the whole brush is being squashed down into the length of the small line segment.
 
I've already tried the brush options and I've tried options of selected object. Setting proportion doesn't work, because then the smaller line segments end up thinner than the rest and if I set the thickness back up then I get the same effect back.
 
Is there some way that I can set the full length of the line with the brush, so that Illustrator doesn't re-apply the same brush effect every time I segment the line? i.e. cut the line up without reapplying the brush to each segment.