I knit Eng style and elim most of the problem by knitting both the last cable st, and the following P, tbl.
Also, some of the slack may be elim in the wash/dry process (the tension will redistribute). You can also try working out the excess by using a ndl tip to snug up the loose stitch(es) by gently pulling each part of the st separately (for instance the left of the V, then the right) and then gradually working the extra yarn into the adjacent sts (you have to know how the sts work into each other to know where to pull). Helps to do this step as you work each row so you don't have to go back and do an entire garment.
BTW, I never work with large ndls or bulky yarn so can't speak to how that would affect your project.