Some things to do for cross training…xc?

my xc team has team runs on monday, tuesday, thursday and friday. wednesday is supposed to be a cross training day by ourselves…the coach said some things to do would be biking or swimming, but i don’t have a bike or access to a swimming pool. would it be okay if i ran by myself anyway? or should i do aerobics? any suggestions are appreciated. thanks!!

What brand name of Running shoes do you recommend?

I need a new pair of good running shoes for gym and am choosing between Nike and New Balance. I have run only indoors on treadmill, aerobics, strength training and crossfit types of exercise. Whats a better name?

What you do suggest?