American Airlines and British Airways will fly you to Venice and back from Florence, either alone or in combination. There are several caveats.
First, American does not fly directly from Florence to the US so you would have two stops on the return, one n Europe and another in the US.
Second, while we are loyal to British Airways and fly them by preference ( we use miles to go business class) I do not recommend using them to Venice. Most of their flights to Venice from London depart from Gatwick, not Heathrow, so you have to change airports. There is one flight combination on BA that does not involve this change, but you have only 1 hour 40 minutes to change planes at Heathrow. The connection is in T5 so it meets the minimum connect time of 60 minutes, but it would still make me nervous. If you should miss that flight ( it departs LHR for Venice at 8:50), the next flights are from Gatwick so you would have to transfer.
The good thing about BA is they have a daily flight from Florence to London that easily connects with the BA afternoon flight to Seattle ( which is the one we always take). The Florence flight actually lands at London City Airport so you still have to transfer, but that is a much simpler transfer, using the airport transfer into London and then Paddington Express to Heathrow. You have over 3 hours to do this.
American Airlines has flights from Seattle to Venice with a flight change in Chicago, with a 3- hour layover time. You can book this and the BA flight from Florence all on one ticket at either AA or BA website. I priced it for random dates in August and came up with $1137 for the lowest fare ( basic Economy, no checked bags). Regular economy would be around $120 more per person. Or Economy Pus for $200-$300 more.
It depends on your comfort zone whether you want to take flights with a change in airports like that. I can't advise one way or the other, since we always build in an overnight or 2 in London on our way home from the Continent. We love London and can make good use of any amount of time there, so it is worthwhile to us.
FWIW, I also checked Condor and they have flights into Venice, out of Florence for $1109, with one stop in each direction ( and no airport changes!) The connecting airport is Munich, and the shorthaul airline is Air Dolomiti. Flights via Frankfurt with the second airline Lufthansa are higher.
We flew Condor coming home one year ( we ran out of miles to fly BA) and were pleasantly surprised. ( But again this was business class; I don't know how theynare in Economy). The biggest concern with Condor is their financial status, since they separated from Thomas Cook. I don't know if their situation has changed since I last looked, but maybe someone else does.