As you probably know, if you are considering purchasing a home in an established neighborhood (versus a new home), you have the advantage of checking the area out on various days at different times of the day and evening to see exactly what living there will be like.
Unless there is a viable Homeowner’s Association in the area(s) you are considering, that you know will help support you with regard to the dog problem you mentioned (ask the sellers if one exists), you might want to reconsider the purchase. From the way you’ve described your family, if things are not resolved, it sounds like you may be very unhappy.
Of course, you could also purchase a home in what seems to be a very quiet neighborhood with no dogs, and neighbors could change, presenting this same problem in the future. You really have to decide how much you really want a particular home, versus fighting the problems you’ve described.
Some friends of ours in 4S Ranch recently received assistance from their HOA with exactly the same problem, so I’m well aware of the challenges you may be facing. Fortunately, they were strongly supported by the HOA and prevailed.
We live on over an acre in RSF, and still hear dogs in the distance, but a little space between you and your neighbor does help.