Phragmipedium potting problem

[JKeys]

So I repotted all of my phrags, and all was well...
Until I discovered this:

Yay! Happy phrag is growing roots out of the pot!
But the system I am using will not work with this. I have it in a tall plastic pot and a layer of some small stones at the bottom. When I water, I pour rainwater in so it is just above this layer. After the water is gone, I will wash out the whole pot and repeat.

But If this root is growing into the rocks, it could damage the root when I take it out and put it back.
Any suggestions?
I think finding a smaller pot to put it inside would be good, but I have yet to find a smaller, opaque plastic pot.
I don't really like clay because the water dries out super fast when the clay pot is sitting in the saucer. The plastic helps to keep the roots cool and the water lasts a little longer.
So if you have seen any smaller plastic pots that will block the sun, or have any other ideas, please share!

Thanks.