Should be :
Class 6 Cargo - 64 Tonnes
Class 5 Cargo - 32 Tonnes
Class 3 Cargo - 8 Tonnes
Class 3 Cargo - 8 Tonnes
Class 3 Cargo - 8 Tonnes
Class 2 Cargo - 4 Tonnes
Class 2 Cargo - 4 Tonnes
Total w/o shields = 128 Tonnes
You also will have to replace the Basic Discovery Scanner as well.
(At least when I did it on my Asp).
The Class 3 shield won't work/fit on an Asp, I believe, due to tonnage limit. Either that or I got a "nerfed" Asp. To put bare-minimum shields, you'd have to drop the Cl5 cargo pod (32 Ton one) for a total of 92 tonnes. Through creative reduction and then swapping you may be able to force a drop to a 8 ton fuel tank (Cl3?) which would boost your range due to less weight, but would have to refuel at each stop, and going through systems with no stations = clear save. On second thought, you many not "have enough fuel" to even make the 1st jump out.. nevermind the last.