I really like the look of no console for a '66. It is definitely the cleanest look you can get.
Yes, I have a console, but the only reason I made one was because I grafted in a different trans hump and am going to have to split the carpet and needed a console to cover it. I have never been a fan of the look of the '66 console though to begin with...the 67+ consoles on the other hand look great.
I am going to be honest about my thoughts on the '66 console....it looks like a cheap piece of plastic glued to the floor, it just does not flow well or make any effort to match the interior in either materials or in aesthetic.
That being said, consoles do have some practicality depending on the design. The '66 console IMO offers nothing except a cubby. The '67 console is essentially the same but the design is far more pleasing to the eye. As for me....I designed mine with practicality in mind, an armrest was a must...as was a storage cubby under the arm rest with USB and standard 12v cigar type ports....a switch panel within reach of my fingers for low/high beam and cruise control...as well as a light at the back used a courtesy light for the rear seats, cupholders, and of course a space to hold extra gauges. To avoid looking like a cheap piece of plastic, I made it out of fiberglass and covered it with vinyl.
Anyway, in my view(remember, I care nothing about originality in my mustang so my view is different than a lot of owners) you have three options....a clean look, originality, or practicality. The only thing the factory console has going for it is originality. In the end though, my view doesn't matter(nor should it), its your car so you should google up different convertible interior pictures with an without consoles...with and without aftermarket or custom consoles, etc and find what you like best.