https://en.wikipedia.org/wiki/Smith_Flyer
The traditional way to do a flex frame is as a 2-dimensional plate. Bamboo is a good suggestion.
Bike frames are made from bamboo with joints wrapped in hemp tape. You could also use basalt tape.
Bamboo plywood in 1/4-1/2-3/4". You could CNC your single A-arm suspension pieces from this.
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One of the disadvantages of using tiny 305ERT wheels is that they have almost no deflection in the wheel and the smaller circumference makes it have higher rolling resistance.
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Deflection radially or laterally? Your cross-section shows a flat transom instead of a horn.