In summary, the as yet unknown critical information that is needed to answer your question accurately is:
1) are your 'perfect' quarter yards fat (18x22) or skinny (9x44)?
2) does 'perfect' refer to the fabric being cut precisely on grain or simply being the ideal fabric prints you want for this quilt pattern?
3) what is the unfinished size of the hexagons you need to cut from your fabric, flat side to flat side?
I respectfully disagree with Pennyhal's comment about it being okay to cut hexagons off grain. Grain always matters; starch or no starch, show or no show.
Welcome to QB from a fellow Granite Stater.