Check it out for the Giant Anyroad. Surely fits what you want.
AnyRoad | Giant Bicycles | United States
As stock, the Anyroad 1 is an Aluminium frame and composite rigid fork that comes with 700x32c tires that allow you to enter into hardpacked dirt paths. Is a huge climber with the gearing it comes (34/48 chainrings and 11-34 cogs).
Surely you can grab one for less tan 1200US$.