What arXiv CC licenses are compatible with American Physical Society publishing?
I don't think you can use any CC license with such a publishing agreement. 

Point 4 allows you to post the article to preprint servers. This covers the non-exclusive distribution license that Mangara mentioned in a comment: You permit arxiv.org to reproduce the article on their website. Importantly, you don't grant any rights to anybody else with this license.

If you put your article under a CC license, you would grant anybody the right to reproduce it (under conditions depending on the exact type of the license). Whether it is published on arxiv.org or not doesn't really matter here – arxiv.org will just be one of the potentially many users of this license. Looking at the arxiv help page, this is hidden behind the specific wording they use. For the non-exclusive distribution license:


  grant arXiv.org a non-exclusive and irrevocable license to distribute the article


which makes it clear that you are giving permission to arxiv.org and not anybody else.

For the CC license, they say instead:


  certify that the work is available under either the Creative Commons Attribution license, or the Creative Commons Attribution-Noncommercial-ShareAlike license


that is, you don't give a license to arxiv.org specifically, but to the general public, and arxiv.org is just going to make use of that general license.

I don't think your publishing agreement allows you to issue a CC license, even the noncommercial one. The publisher does not allow you to grant a license to anybody, just specifically to "free-access e-print servers".