$2-5 NL Live Bottom Set Facing Two All Ins

[FoxwoodsFiend]

I'm chilling with a friend at Bellagio and he raises two limpers with 66 to $30. 3 callers so there's ~100 in the pot.

Flop: 678 rainbow
First caller from the blinds, who is tight but not overly nitty preflop but is very careful postflop checks. My friend bets $120 and the next guy to act, who is pretty ridiculously nitty, shoves in for $150 more.

The player from the blind thinks for a bit and cold shoves all in for $470.

At this point my friend is positive that they both have nut hands. The first guy never has worse than 99 to push that flop and the second guy never has worse than two pair, and he probably folds two pair given this action.

So there's 960 in the pot and it's $370 to my friend to call. What do you guys think? I know what I think but I told him I'd post it anyway to get feedback because he didn't do the right thing IMO.

Also, please do more than just post "you're getting 3:1ish with a set!" and break down some hand ranges and pokerstove it for me. I think it'll be really close given how tight both of the villains' ranges are, but just curious.

Thanks.