Splines Beziers gives the maximum smooth surfaces for a less number of points!
I have many Right Clicks on a curve on Contextual write BZ - ... for convert etc...
I suppose that in Fredo Bezier Splines
or in Fredo SPline
or in Fredo Tools
in any case load all that!
Advantage of Extrude Tools by Tig is the facility!
And you can keep curves for next neighbour patch!
You can also look some modelings of Jo-ke!
He had modelize objects like your!
And don't forget to inspect your curves by the Fredo Tools (Lonely vertices)