Years ago we want to do this and I didn't know any tool for it. I develop the application internally and we used wget mirroring to statically deploy it.

Initially I thought it would suck but turns out wget is way better than I thought. With the combination of ssh etc. We build a simple script that deploys takes mirror of the website and deploys it.

After about 5-6 years, it's still in production with no issues. Internally it's a wiki style, simple database model home grown ASP.NET application.