The suggestion to get a fitting is not a bad idea, but keep in mind that all a fitter can do is put you on a bike, set the saddle height and fore/aft position to KOP, then look at your position. You will porbably look just fine with a much larger drop and much longer reach, but you will probably find that position uncomfortable until you gain some experience.

I suspect that a lack of cycling fitness is the real problem here. You shouldn't have to make up for a little more drop with an even shorter reach. Consider my setup. I'm 67 inches tall (169cm) with a 73cm saddle height. I have the saddle nose set 6-7cm behind the BB and still use a 110mm stem with the short reach bars (or a 100mm with more standard bars), in addition to the 11-12cm drop.

A +16 or +17 degree stem will raise the bars by 5-6cm compared to the -17 degree that I use. There's nothing wrong with a setup like that for a beginner, but you should try dropping the bars a little at a time.

FWIW, Treks have long TT lengths for a given size, so they won't be the best choice, even in the more recreational models with the taller head tube. A 56cm would provide the best fit. The Specialized Roubaix in the same size would have another 20mm of head tube length, but the reach would be about 5mm longer.

Another possibility is the Giant Defy in the M/L size, with a 185mm head tube. The reach is nearly identical to the 56cm Trek, but the head tube is 15mm taller.