I know quite a bit about the Starfox universe. I could become your storyline consultant if you want. =P
First of all, we all need to ignore Star Fox: Adventures. It was a random game with "Star Fox" slapped onto it.
Second, base it more on Star Fox 64 than anything, since the original doesn't have enough depth. The models are much better, too.
Also, I would NOT base it on the adventures of the Star Fox team. The missions in the game are too linear. Instead, I'd base it on someone within the Star Fox (64) universe. There are a lot of people I know who have written fan fictions - many are done very, very well.
The person I would base it around is Bill Grey, but that's just me. He was in charge of the base on Katina and helped the Star Fox team on both Solar and Sector X. He's part of the Cornerian military, so a career system would be much easier, compared to the mercenary Star Fox team.