In researching the terms used for the military side, I found in some case Frigates are larger than Destroyers, depending on which navy you are talking about. There are some other issues around determining ordering, and reliance on knowledge of current naval terminology to decipher the ordering of size.For the commercial side you would end up with the Trader, Liner, Freighter, plus Resource/Seekers and Explorers/Science, with modifiers for size and specific capabilities like use as military auxiliaries or jump range.
But on the military side you would have sized based Corvette, Frigate, and Destroyer with modifiers for the weapon/screens load. And above the 10k line it would be fleet ships (usually with spinal mounts), and again using modifiers specific missions.
Since the Traveller universe is, pretty explicitly, based upon the age of sail it may be useful to borrow the terms from the same time frame: https://en.wikipedia.org/wiki/Rating_system_of_the_Royal_Navy
First Rate - 10k+ tons, spinal mounts (usually); Dreadnought, Battleships, Cruisers, Carriers
Second Rate - 3k to 10K tons - Bay weapons (usually); Frigates, Destroyers, Riders, Monitors
Third Rate - 1k to 3k tons - Max Weapons & Screens; Sloops, Corvettes
Fourth Rate - <1K - Max Weapons; Brigs, Cutter, Schooners, Patrol Boats