you are describing my own nightmare of a baby gift not ready yet.. the baby will be a 5 year old ( !) .. ok. exaggeration.. baby will be one soon and gift still not done.
My hexagons are 1 1/2 ins. this gives more turns.. oh my .. plus, I did not make my own binding but used the quilt binding from the store. it is STIFF !! Really STIFF!
The rounding does happen naturally .. because of the STIFF binding.. If I had to do it again.. and I will. I really like the quilt patis I have used. OK. have nothing to do with the product. I have Parkinson's. this helps me sew, easy quilt type of piecing and I can stay away from the sewing machine. I will plan on a rectangle final product next time.
Good luck.. these are fun quilts to make. I have used various colors for the "flowerets".. Really a fun quilt.. Just not the binding !!
Ell
PS.. your quilt it fun ! I like the large size. Never thought of that. Please, give us the rest of the story on how you finished this.