FYI, I'm pretty sure the Chase Freedom 20k points bonus is done and gone. I haven't found a recent link for it.

Is "CS" Chase Sapphire (non-preferred)? That's possibly something you could purge to open up a Chase slot (via reconsideration call; don't close it proactively).

Chase definitely has some manner of maxxes and limits in place. Not sure what, specifically. I currently have 7 (4 personal & 3 biz), and had to reallocate some credit to get the BA card approved in December. This, with a 801 FICO.

I'd suggest going into a branch and trying for the United Explorer w/ the 50k miles bonus.

If your MS is up to snuff, take a hard look at the Amex Blue Cash (the "old" card that is currently a hot topic). No AF, and 5% CB once you hit the threshold... which people on here could do in one casual week .

I'm a big fan of the Club Carlson card... but it's much better for int'l travel... so maybe not your cup of tea.

Otherwise, I'd say hold off and keep an eye out for some particularly lucrative offerings and cherry-pick those in an off-timetable AOR.