The delivery man will undoubtedly be hating life when he hears your request. Big Orange delivery guys will fly like bats out of you know where.
This may be more of a job for really good buddies of yours. Beer, money or a combination of both are good bribes to get the job done.
Not only can refer doors be removed but so can all the hinges so that you are left with a lot less width. Next refer you look at measure from back of refer to front without doors, just the body of the fridge. Add an inch for all the cra... *ahem* stuff in back of the fridge (lines, cords, yada yada yada). This will give you a more accurate measurement of what you are really working with.