Spoiler for Yet another solution...
It seems I had more than one error in my approach. (Nice catch by Prime, by the way). Oh, plates of crow!
NN NY YN YYLRT X X [A] [C]LTR [B] [A] X XRLT [B] X X [C]RTL [B] X X [C]TLR X X [A] XTRL X [A] X X
The subjects in square brackets are proven non-random by the first two questions, but the third question is not sufficient to eliminate all but one possibilities in all cases.
NNY implies LTR or RTL
YYY implies LRT or RLT
All the others reduce to one option.