Thanks, guys!
I'm tempted to give it a shot but thanks to Orchard Bank, they didn't honor the promise to report my $200 payment on 7/31. Instead, they reported on 7/31 (as I knew they would) and overlooked it entirely

So I will have to wait at least a month to have my util down to where it needs to be. Of course, by Nov. one of my cards is a year old and a 7 year old 'late' gets removed. Maybe I should wait until then. It would also be 6 months since my last inquiries.