My first advice is to try the cheap or free tactics first. The hospital class like Barbara mentioned, buy a box of the gum, but only use it when you absolutely have to. etc. You might surprise yourself. Going into this that you're a 'hopeless case" who's only chance is the full-court press isn't going to get you far.
If that dosen't work, then go whole hog on the prescriptions, patches, and gums etc.
One other thing you can do since you're so interested in cost/benefit ratios is "pay yourself for not smoking". Every pack or carton you didn't smoke, make a deposit into a savings account, a pickle jar, whatever& Make that gun-money or whatever you want to spend it on. Your wife can save up for some New Orleans stuff to decorate with or whatever her desires are.
Another tactic is to make up some kind of bogus association or superstition in you mind, just like a little kid "Step on a crack, break your mother's back". I call it "constructive self-delusion".
Tell yourself that every cig you smoke between now and the first Tuesday in Nov. is 100 fewer votes for Mark Green, Sen. Zien, and Reynolds, and that if you smoke, the PPA won't pass. Then pick the next thing, the Packers won't win. If Green and the Repubs win in Nov. then tell yourself the PPA will get screwed up with poison pills if you give in and smoke.
If you do slip, set yourself a period of smoke-free time to make it up and undo the "damage"&
Every time you smoke, God kills a kitten etc& I'll buy a lottery ticket and convince myself that I won't win if I don't get XYZ done on time. (I'm careful not to promise myself I will win, just that I'm certain to lose if I fail.) If I remember to take out the trash, my kids will sleep through the night.
It's a stupid trick, but if you get into it, it'll work. I do that to get myself through unplesant tasks.
If you don't think Cold-Turkey will work, make a rule that you can only smoke in a certain place. No more smoking in the house. Rain, snow, or shine, you have to smoke outside, and a certain distance so you're not sheltered by the house etc.
Figure out some kind of penalty you and your wife can enforce on each other for breaking the rule.