I pump during my commute on a daily basis--I have the Medela Freestyle, a hands free bra (the one with the holes, NOT the kind the pump clips in to, those are horrible!) and a car charger/adapter. It has made life SO much easier for me!

As for your schedule, if she nurses at 6 you can probably still wait until 10-10:15 of that's the time that works for you--it's only 4 hours and I have found that 4 hours is the max I can go with out pumping--that way it doesn't matter if she eats at 6 or 7, you can still keep your pump schedule and your body will adjust and always be ready for that 10am session