Motivated by Mischief

We did the craziest thing this summer---we moved. Moved away from our country acres to a more densely populated area of Alaska. Lucky for us, we still found a property with plenty of woods around us. Fairly good privacy to boot. However, one part of our new land borders a snooty subdivision.
As elsewhere, the perfectly maintained, Mc Mansion subdivisions are tucked away all over Alaska-- with their ubiquitous covenants, beige siding and green lawns. That said, the McMansion closest to our home harbors good, clean cut folks who seem to make a point of never looking in our direction.
I assume it is because of our noisy pets, unmaintained grass and the gall to buy an older home that needs work. Nevertheless, I am ok with it. Don't know what we have in common anyway. The problem is my dog Little Bear.
Now Little Bear has a mysterious background. He just popped up one day at our old property and refused to leave the yard. A proficient thief, he would wonder off during the day, returning with all sorts of strange wares-- string cheese, bones and automotive goods.
We had no choice but to take all our crazy pets with us to the new home. I have tried my hardest to keep them indoors and quiet. But last night was different.
It was late, we had just returned from the State Fair and somehow while tying out Little Bear he slipped loose. Whenever Little Bear gets loose he simply runs. Runs as fast as he can as he tastes his beloved freedom. Worse of all is his love of the chase.
He will come right up to me as I am holding the leash, and then dart off if I try to grab him. Very slippery fellow, and I know of nobody who can catch him.
So off he runs yesterday, and simply to spite me--(as he knew I was softly calling to him in the driveway) he headed straight for the neighbors McMansion. There he teased their large assortment of well-behaved , domestic canines (it is Alaska after all, so everyone does own dogs). This set off the loudest neighborhood commotion and out fly the owners scolding goofy Little Bear. I call to him and he comes back just close enough to dart back into the woods.
I had no choice but to sit in the dark waiting to hear him rustling in the bushes. With dog biscuits in hand, I heard him close by around 11:00pm, again he approached close enough to tease me--then darts off right back to the neighbors driveway!
I see him in their fancy spotlights as he dances around their mini-van. I absolutely can not chase him--as this simply makes the game more fun for him and he runs faster.
The neighbors once again--fly out of their home and release their overly-obedient golden retriever. This nerdy dog, listens to their commands perfectly--makes two circles, chasing Little Bear right into my waiting arms as I snap on the leash.
As these neighbors don't look my way, I never did need to explain the dogs' silly games.
I am however, sure they are wondering why can't I train the beast?? And as I sit here today reviewing facts about dog training, I'm thinking about the first step. You need to recognize what motivates your dog--food, toys, praise--as this will become the reward in the training regime. The problem is--I know exactly what motivates Little Bear: mischief, and I don't know how to incorporate that into a reward system.