I would recommend looking up companies by regions where you want to work and then start calling flight departments and "pitch" your background and willingness to work et. cetera. Fact is that if they are not looking for a pilot then you will get a no response. If they are looking, then you will have to cross whatever other barriers exist.
The good news is that you will eventually run across an available position with no competition and then it will be yours. Lots of dialing to get there but you can also create a pretty nice contact list of chief pilots with whom you can follow up regularly. I still have a list to this day and that is how I found my present job of 7 yrs.