I noticed that the OP (B"Bob) included 4 units of pikes. I love pikemen but if they have not been modified I'd just as soon have drunken peasants. If their secondary weapons are removed then about all you need to defeat any other army, including Timurids are some very fast horsies -as in border horse or Alan (but I always have severl Hospitallers in such fights too). If you are attacking a city or citadel full of Timurids you don't even need the horsies - just about 10 units of Noble Pikemen will suffice. Well, you still need a general, just in case (a very rare one) that one of the pikemen will break - break and run that is, they break wind all the time even they are nobles.

An army composed of a general and jinetes in a field battle with few trees is another fun time. But, I admit it is very wearisome for me to micro manage these guys. The AI is much better at controlling them than I have been.

Nobody ever mentions fanatics do they? These guys are pretty fun and can pack a whollop. If you could just get them some experience and put armor on them they would almost be beserkers. I love to open gates with spys and have some fanatics run in to take out the archers on the walls and the spearmen near the gates and when all is safe send in the pikemen.