I have a pattern to do it with a crochet hook where the icord is made with crocheting from the inside out. The backside of the crochet forms the outer surface. It is my favorite way to work up a purse handle and then I use gross grain ribbon inside which does not stretch. I find I like this better than lining a purse handle/strap. There is no problem with keeping the ribbon inside as you crochet as it is not like an icord in knitting, you are always going forward.
The cord comes out with subtle spiral ridges. It is sturdier than icord so can be substituted for an icord where durability is important. I have not found how to apply it while working, I've always sewn it on when needed.
Most of the tutorials on YouTube for this technique are not in English. But this one is good. I also use crochet cotton which is shiny and two threads Article 3 with a steel crochet hook which is a smaller size, whatever you are comfortable with.
This technique is able to be beaded, no, I have not gotten that adventurous with it. But it really does make extraordinary handles. I used one time the Ombre Peaches and Crème in browns (just one thread as it is thicker) and it came out looking like snake skin -- rather cool.