As far as the mapping, yes, I would say a proper fuel map will help, just like a different exhaust will, but different exhaust means different head pipes.
The stage1 is probably not the answer, you might be better off building your own map.
If you have a bike that runs exceptionally hot like johnb seems to have, if nothing is found by the factory people, you may want to remove the Y pipe and take a look at it. They all have some protrusion in the weld, but if you have one that's worse then usual the rear cylinder will run very hot due to being choked to death. If you now consider the ECM reads engine temp from the front head it isn't all that hard to see how small things compound problems.
Generally you make gains by the cummulative effect of a number of small changes more then by one radical change unless there is a problem.