What's a good, free and classy, site for hosting a single page site?

The company I’m starting up with a colleague needs a single page site. We’ve got or own domain name but it seems pointless to pay for a hosting service if we only need a single page with a few graphics and some links.

I’m thinking maybe something geared towards personal portfolio type sites would work quite well – maybe something like SquareSpace…

Does anyone know of a good site that could do this for free? Or cheap.