What would TE do?

My company just revised our travel policy to require us to pay for food up-front and be reimbursed later. At the moment, I have two choices - pay for the food on a credit card that already has some debt, knowing that even if I am reimbursed for the amount spent, I will be paying interest on the balance - OR, pay out of my bank account and cross my fingers that I get the money back before I really need it (we are theoretically going to be reimbursed within 14 days, but since they just threw 80-odd people on this policy it might not be very streamlined at first). If it was just one day of traveling, no big deal - use my debit. Unfortunately I have 4 days on the road coming up and I don't have an extra $175+ budgeted into my spending for the next week. (I also want to add that I just booked two of these trips on Friday, so I didn't exactly have enough time to budget for them either).

Ideally, I will probably get an extra credit card designated specifically for food while traveling, but I don't have time to do that right now (and I really, really don't want to).

So, what would you do? Credit card, or bank account + fingers crossed?