Leave it ling and heat treat it well and it’ll work fine. I made a couple long narrow hickory bows that shoot well with little set, about 1”. They are both about 70” long between the nocks, bend through the handle, and 1 3/8” wide. One pulls 75# at 27” and the other pulls 70# at 29”. So at 1 1/4” wide I’d imagine up to 60# is definitely doable. And heat treat it deeply while your at it.
Kyle