My shelter does not have a radio station. It doesn't have a Reactor power station either. In fact, I haven't "unlocked" it yet on the menu.
My shelter's population has just hit 61. So, it seems 60 is probably the magic number for when Deathclaws start showing up.
I have my best armed dwellers on the top floor. A normal attack by say 3 or 4 barbarians usually doesn't make it past the vault room where I have two armed dwellers.
My 1st Deathclaw attack had them go through the entire 1st floor and then drop down to the second where the remaining Deathclaws died.... I had 2 dwellers die in the attack.
Most of my dwellers on the 1st floor have their SPECIAL skill sets at at least 5 and LVLs at around 25 to 35.
Also of note... My Mr Handy got in the fight against the Deathclaws and seems to have suffered a little damage. It doesn't look like Mr Handys can be fixed.