Another way to go about it is to go shotgun on them - incapacitate them with bean bag rounds, quickly switch to normal rounds to dispatch them. You should probably only do if you have the Shotgun Surgeon perk though. the And Stay Back! perk wouldn't hurt either.
Or maybe a combination - keep a shotgun with bean bags loaded, then snipe at them, switch to the shotgun when they get too close.
Or you can get a silenced sniper rifle (like the normal SR with the silencer mod, or Christine's COS rifle from OWB), use a Stealth Boy and pop away.
A (somewhat exploit-y) method I've read about is to get on one of those construction vehicles, the deathclaws will not be able to climb to meet you and you can take them out at your leisure. Never used this method though so can't personally vouch for how well it works.
I wouldn't insult me if I were you.
Look out, we have a tough guy over here.