Like others have said, what you need is discipline to think before you shoot.
Not reviewing images can be good or bad - on one hand, you learn to be more confident in the long run that the pictures will turn out fine without having to chimp as you gain experience, probably after screwing up lots of times. On the other hand, there are times where you really don't want to go home only to find that all your pictures can't be used.
If you are able to progress in your photography using modern cameras, I don't see a point restricting yourself. Only when you can't control chimping after every shot and consciously decide to kick the habit and still can't, then consider actually taping up your lcd.
FYI I shoot an Epson RD1 for fun sometimes. The largest card it can take is 2gb (approx. 150 shots on raw). As I wear specs, shooting a 50mm eq means that I have difficulty viewing the full framelines, which makes framing properly a challenge. It has a psuedo film lever which I have to advance after every shot, despite the camera being digital. It has a 6 MP sensor which performs well for its age, and only goes up to iso 1600. Oh, and its only manual focus. Has a LCD thats so crappy that I can't use it for reviewing images cuz even out of focus pictures appear to be sharp on the small LCD.
The result? I don't bother reviewing images for one. I don't actually bother to pick my shots as carefully as if I shot film (its still digital after all). I carry around 2 extra cards when I do shoot with it. The 6MP is fine when I actually get the shot, but it doesn't leave much room for cropping, which means I learn to (actually still learning) to compose properly in order not to waste pixels. Has my photography improved from my use of the RD1? Maybe. It instills a certain discipline on the way I shoot because of the restrictions, and it carries over to how I shoot with my x100. But that wasn't exactly the reason why I got my RD1 for (mainly a fascination with rangefinders actually).
Most of the time I prefer to shoot with the x100 because its much easier. If you can learn all the basics of photography with a modern camera, why bother with film or imitating film? (unless you like it). If you don't have the discipline to achieve what you want without imposing physical restrictions, and think that film-like shooting will help you achieve that goal, go ahead. But the truth is that most of it is basically psychological. You can shoot carefully and deliberately without having to restrict yourself to old technology if you put your mind to it.
If I could have an updated RD1 with a 12mp sensor, larger size sdcard support, with a larger LCD and liveview for composition with all its rangefinder mechanism intact at an affordable price, I would jump on it in an instant.