Form tubes are mostly a convenience. They make the concrete look nice, make it easier to accurately calculate the quantity of concrete that must be ordered, and reduce the over-use of concrete which drives up material cost and runs the risk of shortage during the concrete placement.
If your soil holds its shape well then you don't necessarily need any form, at least not for the portion of concrete going below soil grade. Excavate the hole carefully, and slightly larger than the required size, then fill it up with concrete. If the concrete should rise higher than soil grade, build a wood form on top of the soil to contain the concrete up to the required elevation. This obviously won't work for a soil like beach sand which flows readily into a hole.
It may be the case that only the base of the footing is required to have an area of 255 square inches (area of an 18" diameter circle), while the column rising upward could be narrower. If so then you could (for example) dig a 16x16 square hole or an 18" round hole, fill the bottom portion to some depth completely with concrete, and use a smaller diameter tube rising up from there to the finished level. Your concrete would be shaped similarly to what's achieved when using the Bigfoot Footing Form. "Some depth" should probably be equal to or greater than the width of the hole -- at least 16" for the 16x16 square hole; minimum 18" high for the round hole.
