What are your interests? Finger Lakes region has been expanded in the last few years. Anything between Rochester and Syracuse,and from the Ontario Shoreline to the PA border is now considered Finger Lakes.
Erie Canal Corridor,Wine and Cheese Trails, Cornell University in Ithaca at the South end of Cayuga, Watkins Glen at the South end of Seneca, Corning Museum of Glass in Corning,kind of out of the FLX but within the expanded FLX borders.
Waterloo Premium Outlet Mall,Geneva is getting a reputation for being a foody town, Seneca Falls has Womans Rights National Park and the newly remodeled knitting mill housing the National Womans Hall of Fame.
Ontario has a couple of State Parks, of route 104, with Chimney Bluffs probably being the best. There is not really a shoreline drive that I know of.
104 is the northern E-W route
Rt 20 runs several miles below that.
Rt 13 Runs on the Southern end of the Finger Lakes,
I-86/Rt 17 makes up the Southern Tier EW corridor.
NY FLX region is about 80 miles E to W, and about 100 N to S. No bad roads,even our seasonal roads are passable except during heavy rain.