I'm certain you'll be fine.
There aren't any scary descents. It's really pretty, too. Much of the route is right by the water.
I think you may need your little ring, though, for one or 2 of the hills, or if it's especially windy. You definitely wouldn't need to walk up anything if you use it.
If you drop your chain when shifting, you may need to have your shifter cable adjusted at the LBS. It might be stretched.
'02 Eddy Merckx Fuga, Selle An Atomica
'85 Eddy Merckx Professional, Selle An Atomica
'10 Soma Double Cross DC, Selle An Atomica
Slacker on wheels.