Ok, it's not skort (just don't do the skirt thing at all). But I only have 3 pairs of running shorts (fit, tight, compression--whatever you want to call them), the are getting thin and I run 4 times a week now. So I found a web site that lists running shorts by lenght...they include fitted and non-fitted. So I ordered a pair of the longer ones (to get past the fat inner thigh part that rubs). Free shipping.
Its Runningwarehouse.com
They may have a variety of skorts, too.

I hope these new shorts work/fit, if so I am buying more pairs!

K