Hoge holed a 40-foot birdie putt on the par-3 17th to tie for the lead, and then got up-and-down from 40 yards away in a bunker on the par-5 18th.
"For sure, to get that missile threat on your phone, you don't know what's going to happen", Hoge said of the early morning scare, in which an alert was sent to cellphones warning of "BALLISTIC MISSILE THREAT INBOUND TO HAWAII".
When tensions eased and play got underway at Waialae Country Club in Honolulu, American Hoge carded a six-under-par 64 to claim a one-stroke lead.
Harman toiled on his third round, carding three birdies and a bogey to go round in 68, leaving him a shot behind Hoge and tied for second with Patton Kizzire, who hit 64 for the second consecutive day.
Seven players were separated by four shots, a big difference from a year ago when Justin Thomas led by seven going into the final round of his wire-to-wire victory. John Peterson tweeted that he was in a bathtub with his family covered by mattresses.
Leader Hoge, 28, who hails from North Dakota, has not finished higher than fourth in 75 starts on the PGA Tour, but is hopeful that the his limited experience of being in contention will help him over the finish line on Sunday.
He was more upset watching his alma mater, TCU, losing a basketball game to Oklahoma. "You just have to make the most".
Thomas had a wild start - bogey on No. 1, holing out from 175 yards for eagle on No. 2, another bogey on No. 3. He settled down for a 66 and was six shots back, with other eight players ahead of him.
"I was watching television and never got the alert and [caddie James Edmondson] called and asked, 'What are you doing?'" Ryan Palmer said before his round on Saturday. "It's hard if you're five back and you're in 15th or 20th as opposed to five back and you're in sixth or seventh".
He figured out how to handle Waialae on another warm, sunny and missile-free day.
Five players had at least a share of the lead at some point, and Harman was never too far from the mix.
Spieth, who carded rounds of 69 and 68 prior to the weekend, hit a bogey-free four-under-par 66.
For most players, the talk of the day was the push alert that turned out to be a mistake.