It couldn't have taken place on Harvest because there was no battle at Harvest. The Covenant glassed it on the spot. If there was a ground fight, then they would've radioed for help.
It couldn't be Mombasa or anywhere on Earth because if it takes place before Halo CE, the Covenant hasn't found Earth. They found Earth by Halo 2.
It's not likely to be on Reach because there wasn't any description of an artic battle at least not in Fall of Reach.
Can't be on a Halo because Halo wasn't discovered until years later, if it takes place before Halo CE. And if so, then Spartan 3s didn't come into play until much much later in Ghosts of Onyx. The humans had nothing when the Autumn crashed on Halo. They were all disbanded, separated, with few weapons and supplies and only ONE Spartan(MC). Pelicans were limited. There was no description that battle rifles and artic camoflague was used. No human fighters, whatever type they are except a few Longswords. And I doubt they can coordinate an counteroffensive like that.
Best guess: Unnamed planet as of yet.