Personally I prefer The Terrible Shotgun, but thats because I prefer the more traditional weps than the energy weps. Also it is one of my favourite weapons because for one thing it's so easy to maintain, and anything that can take down a Deathclaw with one shot, no matter the difficulty setting, deserves respect.. :bowdown:
I find though that the Shotgun is better at close-range than the Blaster simply because it has 80 dmg, where the Blaster has 55 and doesn't really make up the difference by firing slightly faster. You don't want to have to take 2 shots for a kill when at close-range. Also the Blaster is between a mid-range and a close-range weapon so if I was picking weapons to compliment it I'd still only feel comfortable having a mid-range wep (fully automatic) and a close range wep (with a high single-shot dmg distribution) with me as well. Where-as I would be more than happy just having The Terrible Shotgun and Xuanlong Assualt Rifle and nothing else.
But that's just me, it depends on your style of play. I play either from a distant distance hid behind a tree or something, or I'm so close that the only thing you feel before I put a bunch of shells through your skull is my breath upon the back of your neck. :ninja: :gun:
Edit: Correction - Any weapon that can take down a Super Mutant Behemoth with just one shot deserves respect.
From the FO3 bible itself http://fallout.wikia.com/wiki/The_Terrible_Shotgun
"Critical hit damage with this weapon is actually applied individually on each pellet the weapon fires in a shot outside of V.A.T.S.. If all nine pellets critical hit at the same time (such as in a point-blank sneak attack critical attack), the weapon's total critical damage is 9 x 40 = 360! And with the Better Criticals perk, it can go up to 540. Add in the base 80 power of the weapon, and then double the whole thing because of the sneak attack bonus, and the weapon's total damage turns 1240, quite close to that of the Fat Man itself! In fact, if the damage is increased further with a head shot,
this weapon's destructive power against a single target becomes even greater than the Fat Man, being able to kill even a super mutant behemoth with a single sneak attack critical head shot!"