OK..I am 52 but 6 ft tall and 155...in very good shape. Even so, it feels like I am leaning so far forward with the drops that I am getting no leverage as I reach. A new stem that pulled the drop bars closer to me and the same height as my hybrid bars might be it. I had them high to start with, and that didn't help.
OK, I'm starting to get bad vibes about this fit; I wonder if your saddle isn't too far forward. Paradoxically, if your saddle is moved back, you can lean forward more and stay balanced.
So I wonder, if I leave it like this, I could rig something to work the brake and shifter (integrated) just on the right side (which is almost the only side we shift with) so I don't have to redo those onto the higher bar. Something like a thin metal attachment to pull which attaches to the lower drop bars, where the shifter/brake resides. I will mess up this beautiful bike if you don't save me from myself!
May I suggest you find an experienced rider, whom you trust, or another fitter, and get a second opinion? Get someone else to look at you on the bike before you start making changes willy-nilly. Sure, some people tour with flat bars, but the changes you're proposing are going to get expensive quickly, both in terms of parts and labor. Unless you just want to duplicate the old fit on a shiny new frame, I don't think you have a good idea where you're trying to go with this bike.