And if all the above fails...play possum. It worked for me.
I stupidly accepted a contract of 150K CR to kill a pirate and like a dumbass figured my little cobra Mk III would be sufficient with only the slightest of weapons upgrades.
After the Elite Pirates Anaconda brought my shields completely down and did roughly 20 percent of damage to my hull in the first pass, I used after burner to thrust away from him, tunred on silent running, dropped shields, thrusters, and everything else but life support and power plant. This brought my heat signature to nearly flatline. As I approached 100% internal heat I shut off silent running, which I'm sure briefly showed up on his scanners, but then my heat signature went back to flatline and he didn't have anything to lock his guns onto. I simply drifted away for 5 minutes....
Once I thought the coast was clear, I sneaked a peek by turning on scanners. Since I couldn't see him any more, I powered up my engines and frame shift drive and bugged out. Tore up the contract on his life, considered myself lucky I didn't have to pay 25K to replace my ship and turned on all the other systems so they would recharge on the way back to the nearest repair station.
Now I possum all the time. Frame Rate Relay takes longer to charge the closer the enemy is to you and the more mass he has. If he's an Anaconda, it takes forever.
One of these days, I might run into a smart NPC who Boba Fetts me and drops everything as well and follows me silently and nails me once I fire up my thrusters, but I haven't run into one that smart yet.