Payment dilemma for vacation?

[Kiwiismybirdlo]

For our wedding gift, my parents gave me and my husband a week at their timeshare, where we can chose anywhere we want to go. We couldn't afford airfare or a rental car at the time, so we put it off for a later date. We will be going in October of this year as kind of a vacation. Now we've incurred problems paying for our airfare and rental car. We have all the money needed, no problem (we've been saving for 2 years). But our bank will only allow us to put $500/day on our debit card, and the total cost is way more than that. Our only credit card only has a $500 limit, and were not going to open a new one just for one vacation. So we have no real way to pay for it. My parents offered to let us use their credit card if we pay them the cash up front (which is no issue), but they refuse to let us use their cc number online. Over the phone or through a travel agent is the only way they will do that (they are older, and there is no convincing them otherwise). They keep telling us to go through their travel agent. She booked a trip for is several years ago, and we got royally screwed over on the rates (we paid the same amount we could have booked the nicest suite in the hotel for online for the crappiest rooms they had available). Needless to say, we do not want to repeat the experience. My parents have the money to have someone else do it for them, and don't have to worry about every penny. We do not have that luxury. So I guess my question is, is there any of the discount travel sites that will except my parents credit card when they will not be traveling, and can do it over the phone? Or any sites that will take direct transfers from a bank account (we can do that for more than $500 a day through the bank, but visa put the limit on the debit card)? Or just any other suggestions how to do this without paying the ridiculous fees of a travel agent?

Also, I don't need to hear about how we manage our money, or the fact we only have 1 low limit credit card. We do great financially, and could have a higher limit card, but don't care to have that kind of temptation. And as I said, we have all the money to cover the trip and then some,, but sadly, no one takes cash anymore. And as one final note, the resort is free, since it is a timeshare and my parents "gifted" us the week. All we have to pay is taxes, and if we use room service or resort amenities.