I do exactly this--I use namecheap's dynamic DNS thing and a Comcast home connection to serve my personal website. Namecheap lets you update DNS with a GET requ

I do exactly this--I use namecheap's dynamic DNS thing and a Comcast home connection to serve my personal website. Namecheap lets you update DNS with a GET request to a URL, so I just set up a cron job to do that every night. Works great.