I think that's a much better idea than cutting off the leaves, Anne. I agree you would certainly set back the bulb reproduction and maybe next year's blooms if you cut them off now.
Hetty, the cloth covered elastics that people use for ponytails would hold the foliage up gently. They come in a large bag at the drug store for a couple of bucks. (I think a twist tie would cut through the leaves) Even just regular rubber bands would work fine, for a short time. Office supply store has those in a big bag, too.