Good news: the designators are almost certainly in that zip already, they're just not in the loose Gerbers. The jumbled silkscreen text you're seeing is normal. Gerbers are basically plot instructions, so the silk layer is just a bunch of drawn shapes. If your viewer draws it, that's all you get. Nothing wrong with your files, that's just how the format works. In old-school Gerber the text has no meaning attached, it's just strokes and flashes, so you can't search it or match it to a part list.
The ODB folder is your friend here. ODB++ is a smarter format that carries actual component data, so it knows that a rectangle is U3 pin 7 and not just copper. If the board house gave you that folder, open it with a viewer that reads ODB++ and you'll be able to click a pad and see the reference designator. That's the fastest route to finding TP7. Most proper viewers handle it, including the one the poster above built, which is handy since it runs locally and there's no upload involved, which matters if the board isn't something you can share around. A couple other things worth checking in the zip. Look for a file with 'fab' or 'drawing' or 'assembly' in the name, sometimes with no extension or a .pdf. That's usually the fab drawing and it often has a drill table and test point callouts. Also peek at the .drl file in a text editor, the tool numbers and sizes sometimes give you a hint, though that won't tell you which hole is TP7 by itself.
One more trick if all else fails: open the silk layer alone, turn all copper off, and just look at the text near your expected location. Even jumbled, the designators are drawn somewhere, and once you know roughly where TP7 should be from the schematic or an older revision, you can match it up. Comparing against revision B if you have those Gerbers helps too, since test points rarely move far between revisions.