With wheel spacers, the tires will rub the inner wheel well at turns and compression.
A stock tire + chain requires no more clearance than the large tires some people use.
My RUD chains fit really tight so as to not need more than about 1" extra clearance. This would keep the whole package, stock tire + chain, under 33.5" on a LC set up.
Tell you what, I have the chains that fit a BFG AT 265/65x18" I also have some extra tires. I'll test fir them and then share the results. I'll BET you they will fit.
Stock tire: 31.5" diameter, section 11.5", gap at tight spot at least thickness of hand heel, i.e. 1.5"
BFG: 31.7" (when new), section 10.7", this increases the gap by .75". Allowing for less than ideal real world tolerances, it seems there is plenty of room with the above tire being narrower but identical diameter. This particular tire is also much higher load rating than stock or required by Toyota.