You know, alot of game has been taken over the last several thousand years with "primitive" bows, and if you're able to do it humanely, efficiently, and consistently, then shoot with it. Obviously there's a ton of information on here about maximizing your set-up, but 42# at an average draw length (28") will get the job done. Ohio's hunting reg's say you need a bow of 40# minimum. (They don't say at what draw weight you must reach 40#, but Nebraska says "at 28 inches or before.")
I only hunt with selfbows or unbacked board bows that I have made, and all are in the 43-46# range. Nothin' gets my blood going like walking through the woods in a pair of homemade moccasins sportin' a homemade bow and a quiver full of homemade arrows. Nothin', that is, except hittin' what you're looking at with that homemade tackle!
Spend a good deal of time getting those arrows matched and tuned to your bow and you'll be fine.