osufocus :
Very slow printer in classroom. Probably 20 years old. Goal was to be able very quickly print out worksheets from wherever I am in the classroom. I use one printer for speed and an refillable inkjet for color and low cost. I have not actually tried a wireless router at my current job but would make sure that it does not violate any district policies. But you have definitely succeeded in making me question whether it's worth it.
Talk to your IT guy.
If it is possible, they will tell you how.
If they say "No", then you probably don't want to do this.