The only miles you will get is from the printing charge if you use your credit card (though most check printers simply debit your bank account).

Actually it would make good sense for banks to awards miles for checks as they don't have to pay a fee to VI/MC to process the transaction plus they get use of the float as most people don't have interest bearing accounts. Then again it does cost to process paper checks, so processing a $2K check is likely more profitable than a $20 one.