Don't worry, you already have the necessary chassis. But the Workshop Manual is somewhat misleading in showing that only the 365-type gearbox fits on the chassis of which you have two. This is not the case.
Instead, have look at the parts manual (
http://lotus-europa.com/manuals/tcparts/a/index.htm) where the three chassis types used on the TC/Special are shown.
Item 1 is the one you have on photo 1, it will only take the 4 speed 336 box (like on an S1/S2).
Item 2 is made for the 4 speed 352-box, but only for this as I believe the hoop and brackets will interfere with the 5 speed 365 rear casing. But you don't have one of these, so just forget it...
Item 3 is the one you have on photo 2 or 3, and it was in fact used with either a 352 or a 365 box. The difference is in the mounting plate that goes between the gearbox and the hoop. For the Special, the 5 speed was optional but the chassis always of type 3.
So, you have a lot of options:
A. Stick with the chassis and 336 type gearbox from photo1.
B. Use your 352-box with one of the two other chassis. The 352-box has the same gear ratios and strength inside the differential as the 336-box has. But it takes another gear linkage. Which you probably have.
C. Find a 365 gearbox because you want 5 speeds. The quoted comment above is in sync with my experiences, although I did lengthen the rear part of the linkage about half an inch.
D. Find another gearbox (NG, 385, 395, other) and modify the rear hoop or the mounting plate to fit.