Golf shoes leaking from the top

Someone described this problem in passing in another thread.

My Footjoys are fine tramping along wet fairways, through wet rough and minor puddles.

But when it is raining, the rain runs off my trusty Galvin Green trousers, down the front of the leg and into my shoes where they lace up!
Now I finally know what those stupid kilties were for on traditional golf shoes!

I have been looking at hiking gaiters but they don't all cover the lace up part where the water gets in.

I assume a lot of other golfers have this problem, so what to you do?

Yours, soggily, Mimms