I am afraid I know next to nothing about that area, so keep that in mind.
I believe my sister in law (brothers wife) was in your line of work but moved up to a registered midwife, she travels up and down the country, staying put for a month. She makes very good living and all her travelling and accommodation expenses are covered for her. This is England and outside of London, cost of living is manageable, so these companies can manage it.
If your primary goal is to seek long term employment in the Gulf, you may very well have just commit to it and live modestly in either US or Australia for those years. Cost of living and housing is spiralling out of control in most western cities, so it might not be a relative factor at all.
Like I said, if you have family in either of those countries, speak to them. I would trust them most or whom they vouch for.
Other than that, I would join a bunch of professional forums and get an idea of those countries for myself.
The following are just some Reddit threads but I would also look into non-Reddit forums as well:
You may also find decent answers for the question you asked on the following links:
- r/AskUsa (there are many variations of this)