As to your current problem I am not sure how I would use a tracksaw to rip narrow stock because as you say the track is unsupported unless you have more material of the same thickness to support it, maybe this is a step to far for any tracksaw and the table saw is the right tool.
I use my FS 1400/2 guide rail to rip narrow stock with the track saw. The support under the guide rail was three or four strips of similar material perpendicular to the stock being cut.