A modest investment in sneak is very useful here, and it works with almost every build (not big guns, but regular guns, energy weapons, melee, unarmed...) If your sneak skill is 50+ (so 25 base +stealth suit, +book), you can walk in with a powerful holdout weapon. I happened to have "Lucky" and Mk2 Reinforced Combat Armor when I walked into that room, and so it went like this:
I picked up the matches, "Hmmmm, matches..."
WHONK "What was that?"
WHONKWHONK "It's like something is hitting me...Heeeey, I lost a hitpoint!"
I turn around to see two creepy Luxor's. One whonks me with his cane.
"OH HELL NO!" Pull out my .357, VATS HEADSHOTx2, Switch, HEADSHOTx2
'Course, then I screwed up something later in the quest chain, and ended up having to do that to damn near everyone in the hotel.