It will work, it doesnt matter how "touristy" the place that you're visiting is.
The cashier will probably make you stick it into the Chip reader at first, But i always tell them that it doesnt have a chip beforehand, and hand it over to them. They have a place to swipe it on their register. And, unlike all my experiences in the US, they actually do check to make sure your signatures match up!
I just prefer to draw money out of a cashpoint with my (American) debit card, and normally do that.. It avoids worrying about the exchange rate on whatever day it goes through, and the credit company adding on an extra percentage or two because it's a foreign transaction. (I think CapitalOne is the only credit company who doesnt do this) So check out the small print of your card before you go swipe-crazy.
I don't know about other US banks, but if you have Bank of America, you can draw money out of Barclay's in the UK, with no ATM surcharge.
xposted with sb15