I was wondering if it was safe for 2 asian people to roadtrip cross country. Personally I am filipino and my girlfriend is chinese. We are from NYC and plan to travel all the way west then down south to florida then back up to NYC in the summer to come. We are both a little scared about stopping at small towns for maybe a quick bite to eat or a quick rest stop. To be more blunt, do I have to fear any racism anywhere in this country?

Also is it safe to set out without any prior reservations at hotels, motels or hostels? I dont want to be held to a time frame when setting out on this adventure.

We both have no experiance camping. How difficult is it to learn? Are there shower stalls in the camp site?
As you can see Im a little ignorant. But I have a year to prepare.
Any comments and suggestions would be greatly appreciated. Thanks