Seriously complicated area Vinny, Revenue aren't in the habit of granting exclusion orders anymore.
Firstly assuming you are non-residence in Ireland you would of course have to provide Revenue with details of how and when the Income from Ireland would be taxed. Your sentence about a string of short term contracts sounds very like an argument I've heard in a Revenue Audit...not made by myself of course!
Of course it is possible to pay tax elsewhere apart from your own country, you are liable to tax in each country but by concession Revenue allow your employer to pay you without the deduction of PAYE as this gets rid of some of the administrative nightmare.
However since double taxation treaties have become the norm PAYE exclusion orders have fallen dramatically. The manner in which you should claim relief, is pay the tax in the source country and then claim the appropriate relief through double taxation treaties.
This is a matter for a tax adviser..... Seek help!!