This is a BRILLIANT idea, the ultimate "archer not the arrow" experiment.
Putter: Any extremely lightweight lid, because wind or lack of finesse will send it off to who knows where. Lightning Upshots in 80–119g are currently available at GGGT, as are 113g Polecats at DGC. An Ultrastar could also work, because I think it's size will keep it from sticking in the basket very well.
Mid: Again, one of the insanely lightweight Lightning discs, although it looks like none of their mids are in stock in that ideal 120–130g range except for the #1 Hyzer, which is probably too overstable for this slot. Alternately, Wolf.
Mid: Justice
Driver: Lightning MX-1 at 80–119g, in stock at GGGT. Alternately, 137g Blizz Katana, in stock at DGC.
Driver: Groove
I think the key is to think of this as a bad *bag*, not a collection of five bad discs. There's definitely a place for a Justice in a good bag, for example, and I don't think Lightning discs deserve the scorn heaped upon them. The theory behind my bag here is that all the discs are either hard to control and/or glideless and/or extremely overstable.