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)