I have in my kilt kollection both a casual USAK and a Sport Kilt.

I run even though not as fast as you. I am 60 and have been running since junior high school. Mostly the 10 kilometer sprint, with a few 26 mile runs.

For running, I prefer the Sport Kilt, it has an elastic in the waist that allows it to move easier than the USAK casual. The Sport Kilt pills easier, does not have the weight or swish of the USAK. The Sport Kilt is off the peg, and as such is a fixed fit that may not be for you. I am 6'1", and can wear the kilt at the 24" standard length with the hem above the knees enough to not hinder my running.

The USAK casual is a the kilt for walking around campus. It is first of all made to measure. it will fit your figure perfectly and move well with you. The fabric is wash and wear, the pleats are permanent press. The USAK will deliver the swish and sway that will turn the lasses heads. For running have the kilt made so the hem is one to two finger widths above the knee. If you are of lean build the USAK will work for running quite well, if you are of medium build, be sure to wear the shirt tucked in, as it will make the kilt not chafe your moves.

Many decades ago, I wore my kilt to class, but as it was a wool tank, it did not do well for running. I would think that it would be advisable to get your first kilt for around campus (The USAK casual) and save up for the Sport Kilt for running in later. I would not think that wearing the kilt that you just ran a few miles in would be appreciated by your fellow students after track practice.

Enjoy being kilted. A sporran for the school necessities, will make the outfit more presentable as kilting, than wearing the kilt without the sporran. It will help you present the perception of being kilted and not being in a wrap around skirt. This is to keep the admins and the bullies at bay.
I had the good fortune to have at the school a history teacher that was quite proud of his Scot heritage ( Mr. MacDoughall ), that upon hearing of a kilted student, found me and supported my kilt wearing to the administration. I never had him as my instructor, but he was very helpful in explaining to some of my fellow students the valuable contributions of the Scots to our American way of life.

Now from a long time kiltie from Boston, Massachusetts.

Slainte