Very few who get a basenji for the first time are ever truly prepared, no matter how much they read and think they understand! You have already picked up on some the the things you must train yourself to do! Keep bedroom and closet doors closed, put anything you actually want to use again up very high, put shoes away (behind those closed closet doors). Bitter apple or Vicks cap-o-rub is helpful to discourage chewing of wires, etc, but some basenjis acquire a taste for bitter apple! Tobasco also works for some, or tea tree oil.
Positive reinforcement works best with basenjis, reward the good, ignore, if possible, the bad. They are born counter-surfers, both terriers and hounds have high prey drives and are curious and intelligent and used to 'working alone', unlike a golden or shepherd that is bred to work with humans and please them. Basenjis please themselves and if they also please you with something, reward and praise!
Not to say they are uncontrollable, but you must outsmart them, offer them something better than what's on the counter (be sure nothing is where he can reach it, he will find it boring soon). Some of the old dominance stuff really doesn't work well with basenjis, you do need to be the pack leader, but pack leaders are often very easy-going about 'the small stuff'. Tire him out with long walks or dog park visits if he is sociable, work on sit-stays, things that keep his mind occupied. A "BusyBall" type treat dispenser can be fun, give part of his meal to him that way, he will have to work for it a kibble at a time.
My 14 year old basenji girl will STILL steal a leather wallet (or sometimes the entire purse) if I leave it where she can reach it. When that happens, I roll a newspaper and whack myself on the head for being careless!