There are a lot of affordable options on Amazon. The two items below both come in at less than 3.5lbs and are within your desired height range. Carbon fiber will be lighter than aluminum and will dampen vibrations better, so I think its worth extra cost if you'll be biking/hiking with it.
I have the aluminum version of this tripod and can't recommend it enough. It's light weight, compact, and very stable. I also like the fact that one leg screws off and can be used as a monopod.