Hi @psiddons, I don’t know whether Network Solutions allows Let’s Encrypt certificates in their plans, just talk to them before buy any plan to be sure they will support it.
If you want to check alternatives you can take a look to this post Web Hosting who support Lets Encrypt and you will find hosting providers supporting Let’s Encrypt certificates.
I don’t use any of them so I can’t provide any advice regarding their hosting services.
Cheers,
sahsanu