one even layer as Pat suggested wont effect the tiller much,, or at all,,
if you put the sinew on,, it will probaly be safe to pull the bow further and get you 40#,, but the sinew may add enough draw you wont have to do that,, just depending on how thick your layer is,,
at this point,, bending the bow backwards to apply is a good technique to know, but not absolutely necessary either,,,
if you wanted to just go with the rawhide, then you could probably pull the bow further to get your 40#,, I am just guessing,, really need more details and pics to give better advice,,all that being said, if the bow is long enough,,,you might be able to pull it to 28 and get your 40# and do nothing,, I like the idea of at least a rawhide back though,,