I'd laminate a header out of plywood and eps foam once I knew the true dimensions of the bow window.
2 pieces of 3/4" ply glued together, then 1" eps, 1/2" ply, 1" eps, 2 more pieces of 3/4" plywood. then screws on 6" centers (alternating sides)
this would be overkill, but better safe than sorry. (4 1/2" of eps sandwiched between 2 skins of 1/2" OSB would likely be plenty strong so long as your glue did not react to the eps. (eps = expanded polystyrene foam)
you might also consider building a storage bench and stub wall the same dimensions as the new window from the floor up to make the whole thing a built in "nook". The space above the window on the outside gives you room to build a shed style roof to cover it, unless it's alre3ady under an eave, the it might make more sense to carry the shape of the window up to the eaves and fill the hollow with insulation. (or build it up out of 2x6 jacks and put more built in storage above the window)