Same here...I have chipdrop in my run! I love it—we have clay soul that turns into the stickiest mud in the world after it rains, so the wood chips have been fantastic. However, we didn’t have drainage problems to begin with; despite the muck, standing water would go away quickly after the rain. I would have been more concerned about mold if it didn’t.
And yes, chipdrop is a LOT. I mulched my whole front garden, chicken run, and some paths (probably around 600 sq feet altogether) and still have half the pile left.
They brought me three truckloads at once, half logs and half chips. They offered to put them anywhere I wanted them, which was nice. They've worked really well for us.