For many many many examples of how your argument breaks down, look no further than the US constitution. We have the right to freedom of the press - yet no one demands they get a free press. The right to bear arms - yet no one demands the government give everyone guns to exercise that right. The right not be compelled to self-incriminate, yet no one demands free paper shredders or disk wiping utilities. The right to sue anyone for more than $25, but no one demands free lawyers (for this purpose criminal defense is a different -- no disingenuous replies on this please).
So yeah a positive right in this case would provide an obligation for someone, but it doesn't mean providers must give no-charge options, it means the government would be obliged to not deny citizens internet access (except possibly as a penalty for crimes, ala prison does for a lot of rights).
Essentially this is a longwinded way of me stating this is a combination of strawman and slippery slope fallacies piled on factually incorrect statements.
No one has a right to travel. It's actually phrased as the right to freedom of movement, which is a good confusing phrase because it prevents you from thinking you already know what it means. You have (in a free country) the right to go where you want. You don't have the right to a plane ticket.
Positive rights are dangerous. Positive rights inherently impose obligations on someone. They should be phrased that way to begin with. I can rationally discuss the idea of "education is an obligation of government" because it means what it says. If I dare say "children don't have a right to an education" I'll get lynched.