This sort of thing would never happen in a power plane, would it?
Aeroperú Flight 603 - Wikipedia, the free encyclopedia
You were relatively lucky that you flew with a covered pitot tube. This means that the altimeter and the VS/vario will still work because they rely exclusively on static port data.
If your static port would have been covered, not only would you have been screwed in the altitude/vs/vario department, but in the speed department as well, since the ASI relies on the difference between pitot and static. Far more dangerous. Most power planes have an "alternate static" just for this kind of situations, usually a valve which vents the static tube into the cockpit. (Unpressurized aircraft only of course.)
Power pilots regularly practice instrument failures of any kind and particularly in a small airplane, it's not that hard to setup the aircraft for a slightly fast approach speed. After all, you know the approximate RPM and trim settings from earlier landings, the sight picture and everything. And as you correctly mentioned, you know (or try out) what exactly the stall feels like in that particular aircraft.
Then it's just a matter of having a long enough runway so that you have time to bleed the excess speed off over the runway. But you wouldn't want to do a short-field landing without an ASI.
As an aside: did you have any kind of GPS on board? This should be able to tell you your altitude as well, more or less.
Anyway, well done! I guess the pitot and static ports are now firmly back on your preflight checklist?