Cool dog.
The welcome mat thing is funny as hell.
I concur that he's gonna settle down after his teeth are all in.
Doggy chew toys are too much like pretzles for a chewer; try to get him onto a stick thats a couple inches thick.
That usually works real well.
Small branches become coarse saw dust.
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I personally like it when the neighbors friendly dog wanders up to visit and get pat on the head.
They wont come back around if they're run off.
Most of the time they just wanna pop in to say "HI," and duck right out again.
If someone objects to the tresspass with a non-wounding projectile; that's your tough luck, you let him run about.
I wouldn't do that to a dog that wasn't behaving agressively, but IT IS a reasonable response with no lasting damage; welt in the ass to send 'em on his way.
I'll sing a different tune if someone hurts/maims/kills on purpose.
You might consider an 'invisible fence' setup eventually.
Now would be too soon for that though.
Best.