I'm about the same size and ride a 56, 57 or 58, depending on the maker. (Actually, I pay more attention to the top tube length rather than the "size" which is seat tube length.)
I have two words to summarize: Size matters.
My first bike was too small. I didn't know, and apparently the LBS didn't care. While I put 4,000 miles on it, mainly around town, I was never comfortable on it. I always felt cramped. It was awful climbing, sketchy descending and on the flats I felt I couldn't get low or long enough.
OTOH, a bike that first is an absolute joy to ride. My current four bikes all fit and all disappear beneath me as I ride. I'm not squirming around on the saddle, or pushing and pulling myself on the bars. My knees never collide with my elbows (or the bars), and I don't feel trapped between the saddle and the bars at stoplights.
If you're buying a price, that's a good price. If you're buying a means of transport, skip it.