For you modest, reasonable goals, you shouldn't have to spend a lot of money right now. The horse economy is poor, and frankly, the general economy in SW Virginia isn't great. However, I would set a preliminary budget of $2500 - $5000. You'll most likely find a nice horse at the lower end of that price range or even below it, but at your age and stage of life and riding, safety and suitability are paramount, and I would suggest you be willing to pay for the *right* horse, and not let a couple of hundred bucks either way be the deal breaker.
So, first, I'd like to second frank's suggestion that a single horse is often not a happy animal, and I would consider getting either a suitable horse for you husband as well, or perhaps a companion animal such as a pony or a goat.
Second, I suspect you will end up riding western and may even end up with a gaited horse for your purposes. Working gaited horses (as opposed to show gaited horses) are pretty popular in your part of the world and are a good choice for an adult rider looking to trail ride because they're easier on the joints. Working gaited horses often have wonderful, sensible, kind dispostions.
For a new horse owner as you describe yourself, impeccable ground manners and a truly well trained experienced horse is the ticket. I suggest you look for something no younger than 8 years old, and perhaps no older than 12. I'd be more flexible on the upper number than the lower.
Other non negotiable criteria would be the ability to be ridden alone (some horses don't do this well, some horse do it only under an assertive rider. Based on your description, you don't want to have to wait to ride until someone can ride with you. A horse that will cheerfully go out alone without fuss is going to be important) and lots and lots of trail experience, preferably under a novice rider.
Do find an experienced horseperson you can trust to help you through this process. DO NOT EVER get on a strange horse to try it without the seller or someone else getting on it first. Do get an experienced horseperson to ride with you and give you an honest appraisal of your skill level. (Way more valid than a stranger's opinion on the internet.)
Do not buy the first horse you try, or the second, or the third. Try a *bunch*. If you end up coming back to the first or second horse, that's fine. But make sure you understand the whole range of options available to you before making a decision. DON'T settle. There are a lot of lovely horses out there, wait for the one who's right for you.
Do have a prepurchase exam, and do be present for the exam. Be the one to ride the horse for the vet if possible.
That's it for advice right now. I am excited and happy for you embarking on this adventure. Good luck, and do keep posting back about your progress.