I have been led to believe by chase banking employees that you can collect both checking account bonuses (biz and checking) if the business account is under a separate federal TEIN #, and the personal is under your SSN#.
If you try and open them under both under your SSN# the second one open will count as a un-eligible second account. To avoid you might want to close the first account after 3 months and open the other one. Apparently the T&C's still allow you to do this every calender year.
Assuming you have no other chase checking accounts. Any volunteers to test?