Hey there,
If I get it correctly you’re searching for a ranged Rogue build with a cold theme?
In terms of build performance I’d point you to a Umbral Blades Bladedancer build.
Umbral Blades is a throwing skill that can be specced into stationary spinning blades that home enemies and has a cold conversion. To expand the cold theme you could also spec into Decoy and convert it into cold damage.
With bot skill you can do the conversion within the skilltrees without the need of specific items. Sadly there’s no other cold themed Rogue skills you can use alongside with this build.
If you’re into bows, you can build around an Detonating Arrow Marksman. The bottom branch is dedicated to cold. There you could also incorporate Umbral blades. But you propably might need an additional 0 mana skill for sustain. Puncture doesn’t have a build in cold conversion but there’s a unique quiver that converts it into cold. Couldn’t find a build guide for this specific build.
Then there’s the “bowmage” Marksman that utilizes the unique bow from the Reign of Winter Boss (its not a too rare dropped item).
If you’re not solely interested in pure ranged builds I’d recommend trying a cold themed Werebear (Primalist - Druid). This build revolves around proccing Entangling Roots (AoE spell) that you can convert into cold. Druid also has a lot cold support in his passive tree.
Then there’s Ashere’s Vinebear build that can be played with everything converted to cold (Vines, Entangling Roots, Summon Spriggan). One of my favourite builds ever.