I remember the pack was purplish or dark and the menu of games was on the left hand side, with a frame spanning from the center to the right where the game would load everytime you click. The snowball game was on the top of that list, and the list was (possibly) in alphabetical order, if that helps, so something with A could be its name.
About the game:
Fully 2D and viewed from a direct top-down perspective, characters reminded a lot of those .io games, teams were distinguished by red and blue caps. The game had a "charge meter" for throwing snowballs. A key visual detail was that the snowballs would physically get larger and then smaller while in the air to simulate a 3D arc, even though the game was 2D. You could move freely around the map as it had smooth walking and it was in the shape of a rectangle with stuff in the middle and you could traverse the sides easily. You could also spam the snowball throwing and it'd make this annoying sound because the impact noise of the snowballs was very loud. The reason I put 2000 to 2005 is because it resembled that style of art in 2D games the most. It was definitely not DOS or pixelart it felt hand drawn, and again it was not 3D in any way, not even that pre-rendered art feel of say, 3D pinball for windows XP (Although the style of the menu does resemble the right side panel of 3D pinball a little from what I remember).
The games I know it's NOT:
- Snowcraft
- Snowball fight (Gamehouse)
- Snowbrawl
- SnowDay (The Quest for the Golden Jackal)
- Arctic Antics (in the 101 Best Games pack)
- Snowy: The Bear's Adventures
Companies/Developers I feel are maybe not responsible for it:
- Microsoft (hard maybe, there's a possibility but its slim)
- WildTangent (Although the UI to some of their stuff does resemble it)
- eGames / Galaxy of Games (Again, probably not, but I might not have checked all the packs)
If further information is required I'll reply to any question, provided I remember.