Why not base the FTL method of a said specie’s intelligence/brain capacity? I mean like how fast they are discovering things and have some kind of “most likely” calculator in the game that tries to automatically figure out what FTL-method that fits just your specie. Of course, there are animals out there that beat us humans to intelligence and that’s why I think it is also important to take in note how much of this brain capacity that is actually put to practical use. A specie that constantly use very much of their brain capacity may be considered over the top in their stage and this may contribute to some bonuses later in the game, for example increasing the chanse of getting a specific FTL-method.
Edit; where the specie being a bit slower get some classic let’s say the abillity to literally travel FTL. The quicker ones may get some kind of buffed version, like let’s say wormholes. It would also be cool if the calculator took into account what your specie has been focusing their general research on troughout the ages. If military has been a big concern then it’s higher chance developing wormholes, to quickly organize bigger fleets from A to B.
While more friendly specie’s that mostly used communication to influence their way trough the game may instead recieve some other kind of FTL-method that mirrors their chooses.
As an individual with computer skills mostly aimed at anonymizing people and minimal actual code-related knowledge, I don’t even know if what I mentioned is possible. I am sorry if I have proposed “mission impossible”.
Latest edit: grammar.