Exactly.
I've posted this idea a few times on these forums in some threads, but here's a series that I'd kind of love to see:
It takes place after the events of TNG, and there's a new flagship model, a new USS Enterprise being built as a brand new prototype ship with all kinds of toys and goodies, after the E-model has been retired, or has been destroyed. Turns out, though, that even in the "perfect society" of Star Trek, corners are being cut, and profits go ahead of safety and so on, and the new prototype, while having all kinds of potential toys and goodies, is a pretty half-assed effort at a ship, with pretty much everything built shoddily and left unfinished. Potential to rebuild them, fix them, and improve upon them, of course.
Wesley Crusher, the wunderkind of TNG, has realized soon after leaving the TNG crew that he kind of peaked at a young age, and due to some personal events and issues has become a complete alcoholic, has used drugs, prostitutes and so on, and has actually hurt the people closest to him in real ways, making him anything but a complete Mary Sue character. However, somehow he digs himself out of his drunken stupor for long enough for his holier-than-thou attitude and pride to get the best of him, and he basically marches to the bigwigs at the Federation, demanding the flagship post for himself.
The people at the Federation don't much like him, although some pity him, and collectively, knowing that the brand new, supposedly "amazing" USS Enterprise is actually a piece of crap, they decide to give it to Crusher, and send him off to some quadrant somewhere to explore or something. Kind of like "out of sight, out of mind."
Off goes Captain Wesley Crusher on board the USS Enterprise, NCC-1701-F (although there's an F in the MMO, so I'm not sure, maybe it should be G), and hilarity ensues. Wil Wheaton could bring his own holier-than-thou SJW attitude into the role, although a huge caveat would be that he'd actually have to act well. Then again, William Shatner.
I just hope this new series is going to be at least as good as the one I've imagined.