UK vs. US
>>Does anyone know of a helicopter company NOT looking for pilots at the moment?<<
Experienced & capable pilots may be "in demand" in your part of the world, but not in the U.S.
There is no shortage of experienced pilots in the U.S., only a shortage of experienced pilots willing to take the risks and put out the effort required, for what the operators will pay. Over here requirements are being lowered so that the guys who wouldn't have been qualified to flight instruct 5 or 10 years ago are now flying the offshore and EMS jobs.
Pilot pay just can't be raised...so "they" say. Nevertheless profits are through the roof, executive compensation likewise, and more and more layers of middle management keeps getting hired...at lucrative pay.
There's enough dough, it seems, for everybody except the guys who do the actual work of flying.
Every guy at the master's level of this so-called "profession" that I know who has a way out is taking it. Pay-wise in the U.S., it's a dead end. Barring some kind of radical government intervention (and you can forget that), pilot pay in the U.S. has been, is, and will be stagnant.