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From a quick look, I expect you can just pedal thru the entire first bar, change when you get to the octave Gs in the 2nd,... Any dissonant notes are high enough in the treble that they won't be jarring. You could also clean up the sound by some judicious use of half pedal if you want a cleaner sound thru the bar.
I agree. Just use the damper pedal at the beginning of each measure. The melody is so high in the treble that those notes won't sustain very long anyway, so you should be able to shape the melody to sound fine against the middle voice even with the damper sustaining the left hand. Sostenuto is very seldom a necessity for these kinds of pedal points.