First of all, take with a pinch of salt any promises of employment after training. Next, don't forget you need immigration if you train and intend to work in another country, and that you have to think many years ahead in this business.
Having said all that - there are indeed shortages of helicopter pilots, but in the mid range. That is to say, there are lots of low time guys (and gals) and lots of high timers, but not much in the middle. As the average age of the industry is quite high (57 in the GOM a few years ago), I can see that over the next few years most of the industry will have to retire, which should nicely take you to the end of your training.
Your licence is not the only hurdle - that is actually the easy part - you need some sort of specialisation (IR or longlining, mountain course) or hours in the book, so your budget needs to be quite high for the extras.
If you want to go that route I would also recommend another language (Spanish, etc), which is a cheap upgrade for a low hours pilot.