Dish will cut off your programming, but will keep your account active for $5 a month indefinitely. The only reason you'd want to do this is to avoid paying a reacitivation fee - people take advantage of this when they go away for the summer, and the like.
About the statement mailed to a location...if you signed up for CC autopay, I suppose you could ask them not to send a paper statement.
To keep your networks, you'll have to keep at least some programming activated. So, if you discarded everything except your locals, you'd pay your standard $5.99 a month plus $5 a month fee because you you're not subscribed to a package. Pretty sure that's the way Dish works it.
Needing to qualify, and phone line questions - I'm assuming that you are asking if you can move (and it sounds like you're potentially moving a significant distance away from where you are now?) and hook up your receiver at your new location and still get the local networks you had. If so, then the answer is maybe...depends on whether your network locals are conus of spotbeam. If they are spotbeam, then definitely not if you move outside the area of the spotbeam. If your locals are conus, then probably you could still get them, although at this point you are moving into a legal gray area. Also, your account would still be active at your previous address (which from the sound of your goodbye message isn't something that you want to do). You won't need to hook up a phone line at all, unless you plan on purchasing lots of PPV's.
DBS without wires through walls...sure - you can get flat coax cable that will run under a sliding door or window. You could then run that directly into your receiver, and then use a wireless video transmitter to send the video and audio to your television location. You'd need a uhf capable receiver to switch channels easily, though. Check the video transmission thread in the technical forum - Chris just picked up a unit that is working very well for him.