patterning single and double crochet around could do it... spacing out the stitches, maybe with a ch1 between. adding ch1 or ch2 and skipping would make it lacier. doing just the scr, dcr, around would be more solid. you might have to experiment to see what you like.
you could also do double increases around then knit out a couple rows for a ruffle effect. That might be harder to do to match the ribbing pattern.
this is *dcr1 ch2 skip 1* repeat around
this is double crochet all the way around. both cloths (no extra ch, no skipping stiches)
hope that helps
(the handcloths are teacher gifts)