Mount Mitchell, NC: 6684 feet [1]
Mount Washington, NH: 6288 feet [2]
These eastern Mountains are indeed majestic, towering overhead when you look to ascend them. Mt Washington would stand in perfectly for Caradhras.
[1] https://en.wikipedia.org/wiki/Mount_Mitchell
[2] https://en.wikipedia.org/wiki/Mount_Washington_(New_Hampshir...
https://en.wikipedia.org/wiki/Mount_Whitney
https://en.wikipedia.org/wiki/Sierra_Nevada_(U.S.)
https://en.wikipedia.org/wiki/Mount_Whitney
https://en.wikipedia.org/wiki/Sierra_Nevada_(U.S.)