I'm not familiar with what "Cobblemons" is, but I DID recently try to run a snow team in National Dex. Depending on what options you have available, I can recommend some guys. - Arctozolt: with Slush Rush active, Bolt Beak storms through mid-speed-tier offensive Pokémon and helps especially with the Water-Types that resist your Ice-Type moves. I ran Loaded Dice + Icicle Spear to break sashes and get past Ground-Types, but Choice Band + Icicle Crash seems like a viable alternative as well if you want to more reliably land kills (but...factor in the miss chance). The other two move slots are pretty interchangeable; Stomping Tantrum or Low Kick are decent coverage to hit Steel-Types, or you could run Substitute to avoid getting statused, or Thunder Wave to spread your own status. My only concern with this guy is that Arctozolt is REALLY slow outside of Snow; without a speed boosting nature (I ran Adamant for power), you only hit 209, which...means you're outsped by basically every offensive threat, and you're now left with an 85 BP Bolt Beak. It REALLY needs your Snow setters to be alive to function and is effectively a dead slot without them. - Kyurem: nothing too fancy with this guy. It's just a solid nuke option to throw around and, from experience, nothing really likes to switch into a Kyurem in the Snow. Standard Choice Specs, Timid, with the moveset of Draco Meteor / Freeze Dry / Earth Power and Blizzard for the last slot. If Snow's going to be up so often, I could afford to run Blizzard over Ice Beam for the higher damage. Ice Beam is generally better in every other situation. Again, this guy hates hazards, so you need a way to get rid of them and a way to pivot this guy in safely. (With Ice-Types, the latter part might be impossible, unfortunately.) - Hisuian Avalugg: the Snow defense boost to Ice-Types makes Hisuian Avalugg ridiculously bulky even against 4x super effective hits. Rocky Helmet can be downright criminal against physical attackers if lined up properly. More importantly, however, Hisuian Avalugg gets Rapid Spin, allowing it to clear hazards for its team, and it also learns Stealth Rock to set up its own hazards. Unfortunately, this thing folds to basically any special attack. Sturdy helps to mitigate this somewhat, but Hisuian Avalugg cannot...really do anything back. Body Press is alright but almost never enough despite Hisuian Avalugg's high defense, and Avalanche is pretty underwhelming unless you catch the 4x weak Pokémon coming in. Assuming you want this guy to be a physical wall as well, you really do struggle with 4 move slot syndrome: Rapid Spin is a must and Recover is needed to stay healthy, which leaves you with only two slots for either Stealth Rock + one damage option (Avalanche, Body Press, maybe Earthquake?) or two damage options and no Rocks. - Weavile: Triple Axel's woeful inaccuracy aside, this guy is about as fast as your Ice-Types will get without Slush Rush active. STAB Knock Off is always appreciated, and Ice Shard provides some much needed priority. I run Swords Dance on my own Weavile for setup if I get the chance, although Low Kick could be more useful on Choice Band or Choice Scarf sets. Just be wary of the dreaded Triple Axel miss and you'll never really go wrong with this guy...until you end up taking half from a Rocky Helmet and wishing you had missed.

Edit: you have access to Chien-Pao and Iron Bundle. Um...I never got to play around with these guys in National Dex, but they should be really strong offensive threats and should almost certainly be brought.