If you are SAR, then the only companies really are Bristow or CHC-Ireland in the British Isles. Neither pay as well as the military but I believe both are trying to get their salaries increased.
As Bristow has the Offshore SAR trial ("Jigsaw")contract, it may be worth fnding out from them if there are any jobs going. If the trial turns in to a full blown contract, then there will be a need for a number of SAR aircrewmen, especially those with past experience, be it from the military or other civil operators.
Try their personnel departments at either Redhill or Aberdeen.