Joined: Jan 2009
Posts: 44,160
Likes: 6,381
From: New York, NY, and High Falls, NY, USA
Bikes: 1962 Rudge Sports, 1971 Raleigh Super Course, 1971 Raleigh Pro Track, 1974 Raleigh International, 1975 Viscount Fixie, 1982 McLean, 1996 Lemond (Ti), 2002 Burley Zydeco tandem
First of all, don't give up yet.
A lot of really good bikes were good in most sizes except the smallest. They have to make compromises at that end of the scale, and they sometimes do it wrong. 56cm for a top tube does sound too long. Please reconsider getting a shorter stem, at least to try it. You might find you can tolerate the look after a while. And whoa, that looks like a huge stem for a bike of that size.
Second of all, try new tires. Good tires can liven up just about any bike. At the high end, I have Schwalbe Stelvio tires, which ride like a dream. At the low end, you can get some Panaracer Pasela tires at $20 each which are damned good at any price.