Do you need a credit card

Do the rooms have blow dryers?

Yes, credit card is needed for incidentals, some hotels can waive the need for a credit card at their own discretion. I have done it several times when I travel abroad but never tried in the US. Hope this helps.

Yes, most hotels require credit cards to cover any additional cost that may incurre, i.e. feeling like a rock star and thrash the room, throw your tv out the window or you decide you may need an additional towel or two to wash your car.

I think you can pay with cash if you leave a big cash deposit. Many places have this option.

Yes

Yes, taking a credit card at check in is standard