Choosing a ball for Mr. Rime? Compare the normal and shiny recommendations below with their reference sprites. “Best” here means a colour or theme match, not improved catch odds.
The community colour-match recommendations for Mr. Rime are Lure Ball, Dive Ball, Great Ball.
The community colour-match recommendations for shiny Mr. Rime are Moon Ball, Timer Ball, Premier Ball.
Choose the appearance you prefer from the listed options. Normal and shiny Mr. Rime can suit different balls; these are community suggestions, not a measured ranking.
Source: Legal Matching Pokéballs 2.1 by OracleLink. Community recommendations, not a per-game legality checker. Availability depends on the game, form and encounter.