I wrote all of this already but my internet crashed, so I'll try to sum it up again.
We hit our draw on the turn about 10% of the time and he boats the river about 20% of the time time. If we stack him everytime we hit it we get his stack 8% of the time, and he gets our stack 2% of the time, and we miss our draw on the turn 90% of the time. You can insert what you know now, but you never told us about the information we need (Sizes of stacks, bet sizing). The thing that makes this impossible to calculate here is that in buying the turn for a chance to get it in, we also buy another chance to draw. If we're really deep enough here to be drawing to a gutshot, and his bet sizing is really small, it sounds like we'll have a situation where we can draw to it on the river again. However, unless you have superhuman reads on him, I doubt that we can put this into our calculations.