You are way off on your draw calculation, a compound lets you stretch out, a traditionally bow compresses you.
Put a yard stick in the middle of your sternum, reach out with your fingertips without stretching and see where they touch, this will be close to your draw length.
31.5" with a compound will be 29" or a little less with a trad bow, could be 28".
I had a guy order a bow from me that said he had a 35" draw, I have never heard of such so I asked him how he checked it. He had used a dowel and drew it back like he was drawing a bow and got 35". I told him the yardstick trick and he got 29", the bow I made for him fit his actual 29" draw perfectly