I'm slowly moving the hosting of this site over to BigV. This evening I've migrated the standalone site:
I'll do a full write-up in the near future. For the moment the basics are:
The site is rebuilt every five minutes on both hosts, and providing one of the machines is up the site will be functional. I've gone this route because the site is comparatively low-traffic - and even when the traffic peaks it can easily be handled by nginx (it is entirely static).
Having two running via load-balancing seemed like overkill, but at the same time I'm making a lot of effort to redeploy things "properly" and part of that is having redundancy in all layers.