Consider reading fluency, for example. (I'm not saying that fluency is more important than comprehension. I just have the experience with this to imagine what I'd do as a principal.) Teach a paraprofessional to have every first- and second-grade student in the school read to them one minute a week on a sample reading passage (there are sets of roughly equivalent passages one can purchase for this purpose). Have them enter the data through a Google Docs form, a SurveyMonkey survey, or some other tool that will send the data to a spreadsheet. Get someone to program the results so that you can show data per child with trend lines and sort by grade, classroom, etc. For a few extra lines of code, you could add locally-weighted regression trends to be really fancy, but that's beside the point.
Here's the point: this is not rocket science, this does not require a gazillion-dollar software package from TestPublisher Inc., and it's very different from the type of quarterly testing that superintendents are buying into in a big way (including that gazillion-dollar software package from TestPublisher Inc.).
Or perhaps use a free, customizable student information system.