Kevin, I googled styrene plastic suppliers in Saint Paul Mn and found this
Plastics in Minnesota . Scroll down the page to number 12: even though they're in Wisconsin, they say that they serve Minnesota and have a contact address. Give them a try, perhaps they'll know of others closer.
To brace the structure, simply cut multiple 5"x6" rectangles and use them as spacers along the length of the structure, so that the entire length is divided into a number of compartments. You could also put a solid top on the whole thing, and paint the area where the tracks will go black, so that when the track is installed, it'll look like there's an opening beneath it. I'd place these dividers about 6" or 8" apart, and put a bottom in the two end compartments and at least one in the middle. If you're concerned about the sides bowing in or out between these spacers, cut some 1/2" strips off the sheet, and cement them, on edge, on the interior of the structure along the bottom edge. Trim the length so that the ends of each brace can also be cemented to the cross-wise spacers. Hopefully, the simple sketch below will illustrate sufficiently.
In the top view, the 5"x6" ends and spacers are in place.
In the bottom view, with the whole assembly viewed upside down, the two end bays have solid "floors", while the two middle bays have the 1/2" reinforcing strips cemented in place on the inside faces of the front and back walls. The solid floors are necessary to prevent the front and rear walls from skewing in opposite directions, thereby making your three-dimensional model into a "flat".

For visible, but mostly non-functional bracing, Evergreen has "H" columns, "I" beams, and channel in various sizes, or you could make your own from thinner (.010" or .015") sheet or strip stock. I'd use sheet stock of similar thickness to make the chutes.
Don't let the enormity of the structure overwhelm you. Most of the components are simply multiples of fairly simple shapes - time consuming, but certainly attainable. If you want to see an inspirational example of this, check out the scratchbuilt Hulett unloaders, in N scale, in the October 2007 issue of RMC. :-D And there are lots of knowledgeable people here to help you out if you get stuck. :yep:
Wayne