Nearly Free Speech (nearlyfreespeech.net aka NFSN). [1] I'd strongly recommend you try it, without purchasing a domain, and see for yourself how far the initial trial takes you (you get a 25 cent credit when you create an account). Even if you decide to try something else, it's worth your time to read NFSN's FAQ [2] to know more about the service and policies. It's quite impressive.
Advantages:
1. Excluding domain costs, which are reasonable (and even cheaper than many others), you can have small static sites for pennies a month, or even pennies a year if you put the free tier of CloudFlare in front of it (with DNS changes). It's really dirt cheap!
2. It's the most honest service I've seen, where you pay close to what you actually use.
3. The owner/admin is a no-nonsense person and is available on the forums to help with things that don't need extensive support involvement.
Disadvantages:
1. You need to be tech savvy (at least know how to use an FTP client to upload your static files and use the BSD shell if you wish to play around with application setup or other things over ssh). NFSN does not have any fancy control panels (like cPanel) where you can do one click installs of WordPress or other applications.
2. For PHP and MySQL based applications, setup is not difficult at all. But if you want any other application server (like Node or Rails or Django), you would have to do more work to get it set up.
3. If you truly need support, then there's a paid support subscription (it's optional). For most requirements the forums would suffice.
4. If your site grows a lot (in terms of disk space used, network traffic used and resources used), then NFSN could become very expensive compared to the commonly oversold $5 a month or $10 a month services that promise a lot but depend on most users not reaching their promised limits.
[1]: https://www.nearlyfreespeech.net/
[2]: https://www.nearlyfreespeech.net/about/faq