Not a whole lot of forest but Kayenta, Farmington, Chama, Taos, Eagles Nest, and east on 412 to Cotter. The "forest" will be mostly Juniper and Pinion from Farmington to Chama, then you have real forest to Tres Piedras and from Taos to Cimarron. From Cimarron to OK it is grassland, you pass through some of the Rita Blanca National Grasslands around the NM/TX/OK border area.
BTW My folks were living in Cotter while my Dad worked on Bull Shoals day. His ashes are scattered in the White River under the Cotter to Flippin Bridge.
Turret Class traveler