I lost jesse for nearly an hr once. In the blink of an eye he was gone. I didnt even see him take off.@BryanB I think given the amount of exercise you are saying you can give the dog.. (and Im not bashing at least you are realistic and honest) a low activity dog such as an english bulldog might suit best. They are lazy homebodies not given to running off after squirrels and such.
While dogs like spaniels BC aussies etc are great trainable dogs without a job they are monsters who will take your house to bits.
Sight and scent hounds whippets, beagles, greyhounds, etc would be off and running never to be seen again in an unfenced yard and even an invisible fence (illegal here) wont keep them once they are fixed on a scent.
Its really good that you are exploring lots of sources and lots of options before committing.. I cant tell you how many rescues weve had because people buy on impulse and then cant cope with the reality of what the dogs need..
Good luck with your search.