Hmm, sometime in the past six months, I rolled my bike right into the Amtrak station, I think leaving it unlocked between the sets of double doors, all while wearing my helmet and orange vest, conducted my transaction, and left, and nobody said boo to me.
But yeah, this is one of those places you'd think there'd be several multi-bike tie-ups.
And if you have the time, find out whose it is to make a decision about it, and get one of those cards to them.