I will continue to use the USS Texas Green as a good all around pot reference/ship name.
Each rank up, I'll just include the next letter of the alphabet in the NCC number.
As for some other ideas I had for ship names...
USS Hindenburg (oh! The HUMANITY!)
USS Bunker Hill
USS Bull Run
I've had to redo my naming, as I just don't have enough Starfleet merits to do what I wanted to originally. My current ship roster is:
U.S.S. Tesla (T1 starter) - This is the only science reference in this budding fleet and I needed a name quick when renaming it from Damocles.
U.S.S. Crocea Mors (T1 TOS Constiution class) - Means "Yellow Death" and is the name of Julius Caesar's sword. Registry number: NCC - 971239 - B. 7/12 39 BCE is his date of birth.
U.S.S Damocles (T2 Escort) - Named after the famous sword. This will be the name I want to use for my final ship, so she will need to be recommissioned. Name TBD.
U.S.S. Teutonic (T3 Heavy Cruiser) - She was purchased by mistake but I'm keeping her. That was the first name generated for her and I like it. It's also funny because I have a very strong historical knowledge of the Scando-Teutonic tribes, their culture, and religion.
U.S.S Tyrfing (T3 Heavy Escort) - Again, another famous sword, named for the sword of war from Norse mythology that will eventually kill its owner.