Hey Devin,
Here at Oregon, we print the scoresheets daily and put them into our sport clipboards for the evening. The officials/supervisors record the scores and we have office staff that will input the results and attendance first thing the following morning.
Ideally we would like to transition to tablets, but on any given night we could have up to 10 surfaces/courts/fields that we are playing on, so that would require us to have at least 10-12 tablets. The main issue, actually, is our wi-fi connection. Sometimes we play in satellite facilities or on fields that are not centrally located so the internet connection is very weak or non-existent.
For the time being, our method of printing the scoresheets is very fluid and an easy process!