How can I get a ‘touristy’ photo of myself when travelling alone?

I’ll shortly be travelling to new york and staying with a friend (but mostly touring on my own). As much as I enjoy regular photography my only regret from my last holiday is that I didn’t have any photos of myself there! So I’d like to take some touristy photos of myself infront of some of the big landmarks.

I’ve got a crop sensor Canon with my widest lens being 18mm and a point and shoot, neither of which give me a wide enough shot hand held at arms length. I’ve considered hiring a wider lens, using a wide angle filter, asking others or putting the camera down and using timer but I was wondering if anyone had better solutions?