I know exactly what you mean, I'm 5ft 9ins - on a good day. Although I was on the limit of what I felt was manageable during the test ride, I reckoned I would be able to adjust to the combination of height and weight after a few miles; but, after 3500 miles, that never really happened. I was OK (just) solo, but I bought the CT for touring 'two up' and found it decidedly tricky with a pillion and luggage. It never got to the point where I dropped it, but the rides were never enjoyable. In the end I was using a Crossrunner 'two up' and riding the CT solo - which, for me, was the wrong way round.
According to the dealer, Honda approved a lowering kit; although they don't actually manufacture it themselves. I don't know if the one on Ebay is that one or not. The dealer says they have never actually seen the Honda approved kit. A couple of members on this forum have tried using seats that have been lowered - so there are options available.
Having considered lowering the CT in some way, I eventually gave in and downsized. I'm not saying that is what you should do, just that it is what I did. I didn't like the idea of reducing selected dimensions of the CT - it felt like fiddling around with its basic geometry too much - so I 'shrank' the entire proportions down to the Crossrunner. There are gains doing this (the seat height is 816 for a start), but also losses (I miss the power, the quality of the ride and the shaft drive).