California in the USA would be a great choice. You could easily spend a month:

I would recommend flying into San Francisco.

From there:
The city itself
The Napa Valley
The beautiful Lake Tahoe Area (Beautiful in Fall and lower cost)
Yosemite National Park (Ansel Adams photographic stomping grounds)
Big Sur (Some of the most breathtaking skyscapes ever)
The redwoods

Moving south to
Monterrey and the artist colonies
Santa Monica
LA

If you are adventurous you can slip across the Mexican border and end up in Baja California


There are plenty of Hostels if that is your preference to keep the cost down.