Your account level must be at level 5 to play against other humans which is required for most achievements.
To unlock Survivor, you must get your HP below 10% and then allow it to regenerate to full 50 times. The meter blow your health bar will show you how long you have until health regeneration starts. Taking damage will reset this meter.
You can view your progress under Profile >Awards
What Champions are good for this?
Any Champion can earn this and, if you're planning on playing this for a long time, this should come naturally. However, some champions have better tools to disengage than others.
Pip - Solo/Fastest Method
Pip can inflict self-damage, so simply point the weapon to your feet and shoot until your health is lower than 10%.
Evie
Blink travels short distances which can allow you to get around corner good, but the real reason she's good at escaping is Soar. Soar allows Evie to not only move quickly, but to fly as well.
Skye
She has Smoke Screen which gives her Stealth for 3 seconds if she enters it. Her ability Hidden also gives her Stealth for 3.5 seconds. Along with the invisibility, she gains a 25% movement increase. Enemies close to a stealthed Skye can see her.
Viktor
Hustle allows you to run for an unlimited amount of time at 65% of your regular speed, but you're still grounded, so you may get hit by a stray bomb.
I don't see anything on my award screen.
The award screen seems to be broken right now. Once you play a game the award screen will break. If you see a broken awards screen, simply quit out of Paladins and launch it again.