Am not sure there is any need. As I understand it the formula of "13 - # of cards above 3 in all suits" will give the correct answer in all cases except those where you are counting the assumed top honours in a long suit. Ignoring those special cases, all your formula does is to adjust to the above formula when the third suit also has cards above 3, right?
More than that, unadjusted LTC is arguably the worst evaluation method around. It is the same as A=3, K=3, Q=3, dbl=3, sgl=6, void=9 (with K bare, Q bare or Qx = 0). Anyone should be able to see that is a bad idea. I realise you are not progressing on to actual evaluation but anything else is of no practical use to a bridge player.
So I cannot currently see any merit in this, neither mathematically nor from a bridge perspective. It is a shame - as a bridge-playing mathematician who was once involved in research I would love to have found something interesting here. But all I can see is something trivial being dressed up as useful research. Well it might be enough to fool some old Prof into giving a 2:1 for a final year project...if they knew nothing about bridge anyway. But do not expect to be writing it up as a doctorate thesis any time soon.