Depends on the board. Red oak will require a pretty wide handle and will follow the string a lot if it survives. Good hickory less so.
Add sinew to good hickory and you can get away with a full draw (28") bow that will do OK. I would not waste my time with sinew on anything less.
My shortest decent bow was a 56" sinew backed, rigid handled osage. It is still harsh to shoot and stacks alike a beech past 25". My shortest good bow is a 58" osage, bendy handled bow. It is 60# at 28".
I once made a red oak backed red oak 48" and drawn to 26". Glued in 3" of reflex and it followed the string by 3". It was mid 40#'s in weight. Very sluggish.
All that being said, go for whatever you think might be a fun experiment. It's your bow after all. Post your experiences.