Like most other chains, Hanting on its Chinese-language website shows which hotels in the group don't accept foreigners, usually by noting 内宾 “domestic guest" in the main list, though sometimes by noting that foreigners aren't accepted in the detailed hotel description.

Further, ctrip and elong on their English-language websites intend to list only hotels which accept non-Chinese, but their systems are not perfect and mistakes happen. I can vouch for that. In any event, if there's a particular hotel you're interested in, you can always call ctrip first and ask them to confirm with the hotel directly that you won't be thrown out into the cold because of your foreign face.

I've liked Green Tree and Jinjiang Inns, but a lot depends on the particular property. Best to read the reviews beforehand, using Google Translate if necessary. Chinese guests can be scathing.