I'm seeing that Rome is 1.5 hours south of Florence. That doesn't seem like too much of a detour to me and I've never been to Italy at all.
After doing a little more research on visiting Venice in winter, it seems like it will be fun... Acqua Alta is actually cited as a reason to go,
"the desertion of the streets in winter is magical, and the sight of the Piazza San Marco under flood water is unforgettable."
http://www.independent.co.uk/travel/europe/venice-italys-winter-wonderland-2153884.html
"walks of Italy" has a lot of great information, too!
https://www.walksofitaly.com/blog/venice/flooding-acqua-alta-tips
I know it's not the best time of year to be traveling, but it is what it is. I'm taking sabbatical to press "restart" and I just want to wander to places I've never been. I was hoping that the cold weather would mean interesting hiking opportunities. But alas, I'll figure that out.
Here is the rest of my trip, for those interested:
11/3-11/13 - Armenia (visiting my sister, who's in the Peace Corps)
11/13-11/18 - Copenhagen
11/18-12/16 - Germany (lengthy stay in Berlin, then taking trains to other cities to experience Christmas markets, ending in Munich)
12/16-12/29 - Italy (Venice + Florence definitely, now probably Rome)
12/29-1/3 - Barcelona (flying there from Nice or Rome to spend NYE with my sister)
1/3-1/24 - France (lengthy stay in Monaco/Nice/Provence, then north to Lyon and Paris)
1/25-1/31- London
I will be doing some WWOOFing (World Wide Opportunities on Organic Farms) as well as just general leisurely wandering. A client turned me on to this travel forum, so grateful to have advice your advice!