This is the only collectible date in this series from the Carson City Mint (the 1876-CC is an extreme rarity that is beyond the means of most collectors). As a result, it commands a hefty premium over the normal type price, including over the 1875 (which has a substantially smaller mintage).
High grade examples of the 1875-CC Twenty Cent piece are scare but not rare. The PCGS CoinFacts Condition Census of the top ten examples includes coins that are all MS 65 and better. Gem MS66 examples are very scarce and anything better is an extreme rarity.
Heritage 4/2015:5008, $51,700
Heritage 7/2008:1624, $63,250 - Joseph C. Thomas collection - Heritage 4/2009:2295, $40,250 - Heritage 8/2011:7094, $48,875 - Jim O’Neal Collection - Heritage 4/24/2014:5576, $47,000
Heritage 1/2014:5206, $48,468.750