Hmmm..... so what you mean is you need to keep the cutter out a bit further from the head/system ? As you`re conscious of not snagging the lace with anything sharp-ish, I`m wondering if these round-tipped stirrers would be suitable for what you want.... they`re plastic so you could easily saw through the stem with a junior hacksaw to whatever length you want and tape them to the underside of the cutter.....the rounded tips wouldn`t snag the lace.
http://www.drinkstuff.com/products/produ...s+Coloured
Don`t know if that`s practical of not.