Sorry, read the bit about largest battery packs as using them alone. I don't know what the power requirements are for maintaining 125mph, but surely the current IEP's can do that without batteries, and a combination of regen braking and running some or all of the GU's during deceleration or downhill would hopefully be enough to charge the batteries. You wouldn't need large battery packs, just enough to boost the acceleration when needed. And I assume in stations, the IEP shuts down all but 1 of the Gu's for hotel power, and running that a little harder, and more efficiently to add charge if needed would not be too bad.
I know, a lot of variables to consider, and I don't know the track profile on this line. I have no idea what would be best.