If it was short periods.. probably not, but the issue is..
Before the heat wave, what was the temp of the carboys? Chances are, if they were actively fermenting, they were atleast mid 80's.
US05 might be able to hand it, but will get fusel tasting.
Notty... well, I won't get into a rant, but it's not something you'll want to allow to get warm.. IMO, it probably should never be used unless you can keep the fermentation temp under 66 or so, ferm temp, not ambient temp.
EC1118 should be okay.. Used it once around 72 or so, and it was fine in a cider as well.
You'll get off flavors for sure fermenting in the mid to high 70's period, unless it's a saison strain that actually enjoys the warm temps to toss the esters and phenolic notes that are sought after. Obviously someone will chime in and say they did it once and didn't "notice" off flavors. We are all our best critics... we don't taste the flaws. If you enjoy it, then it's a success no matter. Obviously you want better beer, or you wouldn't be asking though.