My area has a similar density and a co-op did it for $80 a month 1 gig fiber to the home. We couldn't even get DSL, and the local telecomms even gathered funds locally earlier to build it, but then just kept the money. I am extremely skeptical of claims that rural areas can't get fiber, fiber is even cheaper to hang than copper is, and yet every rural area has telephone lines and power that were put up many decades ago with even less equipment available.