Not enough details of what you are doing to help much.
With thick flat wire (strip) you will have less eddy loss if the flux passes along the long axis of the strip but at 14 gauge you aren't really thick enough to worry much.
In theory you can get a better stacking factor with flat wire but in real life without a great deal of care and effort there is not likely to be much gain. For simplicity I suggest you wind the wire the easy way and in most cases that will be the way that gives less eddy loss. Unless you can do a very clever transposition at the ends I doubt that you will get much better stacking than round wire. You will probably get better stacking winding it on edge but that is not easy without the right equipment and it will be worse for eddy loss.
In reality unless you are using a mppt converter you will have to tolerate resistive loss to get some sort of matching to the prop, you have the wire, stick with it, but in future use round.
Without more details it is impossible to comment on the type of winding, round coils suit round magnets for an air gap design, if the magnets are any other shape then make the coils a similar shape.
Wave winding is a reasonable option for slotted iron cores but is not easy to do with air gap machines and really isn't worth the trouble, you will have all the problems of overlapped coil designs and for axial machines you will not do much better than the usual single layer winding that most peple use ( 4/3 magnet coil ratio).
Flux