You now have described the status quo in length. But you have not touched on why it is supposed to make sense. You have not provided attack vectors for the easier alternatives.
By uploading a file to tekmol.freewebhost.com,
you haven't proven that you control either
.freewebhost.com
Who said that putting a file on a subdomain should grant you a cert on the domain? Putting it on domain.com/.well-known/acme-challenge/ should.