I collected all the ships and named them all after concept/abstract nouns or adjectives, e.g. "Sovereignty" for my Cutter, "Supremacy" for my Corvette (absolutely stole that from Star Wars), "Victorious" for my bounty hunter Mamba, "Triumphant" for my AX FDL, and so on. I align Imperial so I try to make the names at least somewhat suitable for basking. I did break the scheme for my FC, but that's because I named it INV Imperator. Can't bask harder than that.
Following that naming scheme, I have two exploration ships. "Dominion" is the exploraconda and "Reverence" is the Krait Phantom.