No I don't have the kits addon installed, I duplicated some of the files of your new zdata_31.big inside a new created zdata_34.big to get the fifa.fat bigger until the crash, I don't think it is a graphical problem as the game won't even load, it crashes with fifa06.exe error as soon as you try to launch it, as if it couldn't load the fifa.fat at all.
This I did on a clean Fifa install.
I first noticed the crash in this configuration :
zdatas 1 to 30 : original fifa datas with most kits, flags, adboards changed to double textures with kit raptor, utilities working
zdatas 31 to 33 : new zdatas created by me containing faces, heads and hair textures of about 200 players that hadn't one ingame
zdatas 34 to 36 : CEP 0.11
zdata 37 : Newly created and added keeper and third kits for teams that didn't have one ingame, about 120
zdata 59, 60, 61 : ECP snow patch zdatas
zdata 76 : fifaccitiu's turf patch zdata
all these files took the fifa.fat to 329kb, crash
after I removed the last four fifa.fat size shrinked to 325k but still crashing
after I removed my zdata37 it shrinked to 322k and it worked.
Then I tried on a clean installation like I described before by just adding the CEP and slowly increasing the fifa.fat file by the method described before, it worked until it reached 325k.
I really hope it's just something wrong on my part as this would really be a bummer for the adding of more graphics in the future. I'll keep looking for a solution, in fact I already found a workaround, but one that has many inconveniences, including making the game more choppy to play.