My cousin and uncle have had neck surgery, but I've never noticed any special furniture at their house. Though of course it probably depends a lot on the specific problem that a person has.

The Healthy Back store has some recliners that are not cheap but not $3000 either. Their closest store to you is Kentucky, but maybe there are other, similar stores in your area? Maybe your physical therapist or doctor would have specific recommendations.

https://www.healthyback.com/home-seating/recliners.html