I worked for a US company and was regularly going out there. We had to have credit cards with no credit limit in case we needed medical treatment whilst out there (and yes we had medical insurance cards too). If you do end up using your credit card, a hospital won't treat you without reserving something between $5000-$10000 against the card, and you may well not have that credit available on your normal credit card.
A friend (not with the same company) was on holiday in the US with his wife. She felt faint one day and they went into hospital, where she was put on a drip for half a day whilst they did some tests, but found nothing wrong. That cost them £5000, and that's 10 years ago. Insurance repaid it, but if they hadn't been in a position to come up with £5000 instantly and the medical problem had been more serious, things could have got nasty.