Creating computers in a magipunk world might be akin to creating stationary constructs. Input commands, and it outputs a result. A keyboard could be made of stone keys with both magical and mundane symbols. The audio/visual bits can be done through illusions.
Disable Device would have a lot of new uses of course, especially with hackers and crackers. Going into the "internet" territory would mean the "computers" are linked up and can communicate. Depending on the tech level, you could have people (or creatures) digitized into one terminal to pop out another.
Alternately, it might be nice to split up the information communications from any teleport services. An example of a teleport service I know well is the Grid from Anarchy Online. It's the usual "digitize the user and send him/her/it somewhere else" schtick, but it has some flexibility in that the destination isn't predetermined. You Grid in and you're in a room with a bunch of named drop-off spots. It gets a bit more interesting in that you need a certain amount of Computer Literacy skill to use any of the terminals and drop-offs, sometimes a very high skill check. A specialized class called a Fixer can port himself and later his team directly into the Grid without needing a terminal. Fixers also have a way to crack into a specialized Grid that has additional exits in the world, and at high levels can take along teammates.
There's also the Whom-Pah system, which is really just pipes taking the character to certain destinations. Boring and comparatively mundane, but it gets people in the general area. There's no central hub to everywhere with this system, but that's the price for being free. Watch out for guards though if you're from an opposed faction.
Spinning this into D&D, it's easy to make teleport pads like the Whom-pah or the above TC pads. DDO has plenty of examples there. If you're going with a Grid structure then it's porting the person to another plane that kind of overlaps with the material plane. IIRC, that's in the territory of demiplane for D&D since it's not a "natural" plane.