I drive and see no problem with it at all.
A chasid was driving behind me, and when we both got out at the same place, he asked if that was me driving. I responded in the affirmative and he was like wow you drive really well.. for a women. That really bothered me.
Also if you dont let your women drive, how is it anymore ok to hitch a ride with a women? I get asked by chasidish men a lot to drive them places, you dont think thats untzniusdik with me being a 19 year old girl?