What are you saying gets tangled? On the wrong side of the knit or the strands leading to the skeins?
You have the strands coming off a finger | | (I'm not sure which is called top or bottom). If the first (left to right) is the secondary color, I'm thinking if you take the needle behind the first strand to knit the second strand every other stitch that will trap the first strand every stitch.
I just tried it with a wash cloth. It works but like with twisting to catch you can get the color peaking through between stitches (now I remember catching floats). An interesting effect with the cotton washcloth and just carrying the color but would be a lot of picking in usual colorwork with it peaking through between every column of stitches. And since it's every stitch the color is wrapped up the whole column between stitches it really wants to separate the stitches and show.
Maybe don't catch it every stitch, just more than usual.
The guide is my general tip for tangling (or confusing strands if the strand work is double knitting), I started out using 2 fingers like Salmonmac showed but on the left hand and went to a guide pretty fast. Also to say all colorwork is not right handed throwing or both hand, I pick the strand I want off one finger on my left.