If you're are worried about high utilization rates on your report, why don't you just carry a negative balance on the card?
I have a Citi Premier ThankYou card that give 5x Thank You points that can be redeemed towards mortgage payments (now in 4th month of the 6 month promo).
Citi only gave me $3K credit line. My average spend on this card is $25K/month (all legitimate business expenses). I just make sure I always have a $3-4K negative balance on the card to help push charges through.
I've had it for over 4 months with no complaints from Citi.