A country bike/adventure bike/all-arounder is your best bet.

Salsa Vaya, Specialized AWOL, Jamis Bonsanova, Fairdale Weekender Comp, Diamondback Haanjo Comp, Trek Crossrip and Giant AnyRoad fit into this type of bike.

They can take fenders, racks, a headlamp and 35c tires. They're ideal for commuting and for riding country hardpack/gravel roads.

A do it all bike with drop bars.