Asics Gels--- these are the cross training shoes you want.  Finally finally figured it out.  I do high impact dance aerobics and I suffer.  I must tear through a new pair every 3 months, so naturally I look to change it up.  The Gels  vs any other Asic- you want the Gels.  Really.  In the early 90's it was Nike, then New Balance for late nineties
and early 2000's... Then, what the heck happened to their cross trainers??  Really?  Can't do it anymore.  So now, it is Asics for me.  Trust me, I dance 5/days a week.  Hence the new shoe every 3 months.  I know what I am talking about.  Finally figured it out.  Good luck.  Go with the Gels.  Trust me.