Thanks for all the suggestions - I did get denied a second AA business Visa, reason given was the "bonus is for first time card members only" line. At this point I am looking mostly for signup bonuses, my spending is pretty much allocated to the existing cards. The SPG business is on my radar, and I need to look into the Sapphire Plus Mastercard.

I plan on keeping a few (Hyatt for the free night for $75, Sapphire and Ink Plus as a repository for my UR points, the Citi HH since they are free) and cancel the rest. AAoA is not that big an issue for me, Amex really helps there since they seem to report new accounts with the age of the oldest one - that would be more than 25 years, giving me an overall AaoA of nearly 10 years.