Canada would be a great option - and driveable...
Once you get to Europe, it doesn't have to be expensive. Quite a few areas in the alps can be reach by train and bus. In the town of Bourg St Maurice (Col de l'Iseran, Cormet de Roselend, Col du Petit St Bernard to name a few nearby cols) I stayed in a modern hostel that cost only 20 euro a night! Supermarket across the road meant I could cook all my meals...
My trip to the States later this year I'm planning on sleeping in my rental van the majority of nights and cook on a single burner stove. Travel doesn't necessarily mean expensive...
