What size frame are you riding, now?!?
How flexible are you?
Can you touch your toes with your legs straight & without bending your knees?
Can you lay your palms flat on the floor with your legs straight & without bending your knees?
How old are you?
Were you planning on racing, toddling along the bike path, or something in between?
The fit you get from a calculator is an arbitrary starting point ... and, the fit you get from a "pro" is often based on his/her biases.
If you are uncomfortable on your current frame, then you are probably better off spending some time/miles tweaking the position before throwing down a lot of money on a high-zoot/(any) new frame regardless of what you read or are told (including, now!).
FYI. As noted, "virtual" almost always refers to the top tube length ... as measured from the center of the stem to the center of the seatpost along an virtual/(imaginary) top tube.
C-T means center-to-top (of the seat tube). Look at the diagram on the framemaker's website or sales brochure to see if that means the top of the actual seat tube at the clamp (basically, the center of the bottom bracket to the top of the clamp) or of an actual top tube.
FWIW. Despite the indifferent sizing by my LBS way-back-when when they asked me what size frame I wanted and I ignorantly told them the size frame I thought I wanted (I started with a 60cm Gitane w/ 72º angles! The top tubes on the smaller frames were probably all the same ... but, I lucked out in getting a 90mm stem with that frame size whereas a smaller frame would have probably had a shorter stem), and there was no attempt to dissuade me from that size frame OR to suggest another size ... I'm 5'9".
The ACCIDENTAL FIT (after adjusting the height of the saddle -- essentially, serendipitous sizing ... kids, don't try this at home!) is actually/fortunately the same for me then-as-now even though the frames I currently have vary between 52cm (c-c) and 57cm (c-c). While the top tube lengths vary & the stem lengths vary (in part, based on the particular handlebars), the difference in the distance from the rear of the saddle (an arbitrary point for me to measure from) to the back of the "horn" on the brake lever body is within a half inch along the diagonal after establishing the relationship between the saddle and the pedal. That is, all of my bikes FIT beneath me the same despite the frames being different sizes (the larger frames do have handlebars with deeper drops) ...
There are times when I've intentionally used a shorter stem for a given top tube, but have gone back to the right-for-me length. I've tried a longer stem for a given top tube, and they were indeed too long, but not so much so that I couldn't ride with it.
IMO, at some point, if you aren't racing, the frame size of a ROAD bike that you choose is cosmetic IF you know how the bike is supposed to fit beneath you.
BTW. A frame with a 56cm top tube should NOT be too long/large for you ... measure your current frame's top tube and decide, accordingly. The stem length on your current bike should probably (?) be ~110mm if your current frame's top is 56cm long. If BOTH are true & your current frame is comfortable, then the "large" LOOK is not too big for you. If your current frame is the fore mentioned size & uncomfortable, then you need to address some fitness issues before throwing that kind of money down on a new bike.
If you DON'T currently have a ROAD bike, then consider starting with a complete bike that costs half what that frame costs ... and, get a LOOK frame in a couple of years when you absolutely know the right size for YOU.