Latham is one eight team pursuit riders vying for the four Olympic team pursuit spots.
"There's a lot of hungry guys. It's a pretty good position for BikeNZ to be in. It makes the competition between all of the fellas pretty tight. We just want to make the team go faster."
Latham topped the qualifiers in 4:21.730, just ahead of Gough's 4.22.065, and repeated that effort with a 4:21.975 in the final, taking control in the second half of the 4000m battle.
The Te Awamutu Sports' dominated Waikato Bay of Plenty quartet of Sam Bewley, Scott Creighton, Peter Latham and Hayden McCormick blitzed the men's field in the team pursuit final.
After qualifying fastest, the team caught their Canterbury rivals with four laps to go.
Kaytee Boyd was the best of the women in the 3000m individual pursuit, taking the national title ahead of teammate Rushlee Buchanan.
Both Boyd and Buchanan have been part of the BikeNZ team pursuit squad at world championship level and are also battling for a spot going forward.
Boyd was top qualifier in 3.41.251 for the 3000m, with Buchanan nearly 1.5 seconds back. But in a massive battle of two international riders, Boyd pipped Buchanan by just 3/1000th of a second in a tremendous race.
Commonwealth Games medallist Joanne Kiesanowski (Canterbury) rode an exemplary points race to secure herself the national title.
The country's leading omnium rider featured in each sprint, winning by an 11 point margin ahead of Buchanan and Sequoia Cooper (Southland).
More Te Awamutu highlights from the national track championships in Thursday's Courier.