I'm currently at the 5/24 Chase limit, and I won't be under until November of next year. As valuable as Chase Ultimate Rewards can be, I don't want to wait another year, I'd like to take advantage of some of the current sign up bonuses on AMEX Business cards.

Anyway, if I get 1 or 2 AMEX business cards, would that keep me at 5/24? In other words, should I be able to sign up for a Chase card a year from now?

How's your experience been, or what have you heard? Thanks