In mid game: (after the initial draw and drafting)
I thought maybe to split the assistance deck into 2: one for the end game scoring assistance, and one of the rest (all the ones that give you stuff) and when drawing you can choose from where to draw...
What do you think?
Interesting! This is one of the large random luck elements in the game. Your idea Gives the players more control over the type of card drawn,a tad bit less randomness, without giving away to much information about the card draw.
Another possibility would be a face up draw deck like the customers row, so you can see a few or draw from the top.