If you own a domain name you can use the DNS-01 challenge instead of hosting a web server to serve the challenge response.
With DNS-01 it will add a TXT record to your DNS zones and check if the record exists to verify that you own the domain and then issue the certificate.
Depending on which tool you use, they usually support DuckDNS and some other free DDNS providers. If you have your domain on a registrar, chances are that it's also supported.