Adam,
Here's a lighter, safer alternative:
Ideally for this system rap rings or chains/links are at each rap point. If not, bringing rap rings is helpful (although you can tie a loop in your rappel sling to pass the rope through if you don't have rings)
With 10mm rope you can pass the upper end through the rap ring and tie a double figure 8 loop which will not pass through the common SMC steel rap ring. Even more so for the smaller diameter aluminum Omega Pacific ring. Tie the upper end of a 63M 3mm 15oz cord through the fig8 loop in the 10mm cord. Rap single strand on your 10mm and thread the 3mm retrieval cord through the other side of your ATC or through a biner clipped to your harness to keep it captive as you rappel on the 10mm. At the end of the rap pull on the 3mm to retrieve both cords.
I have done this with cords as thin as 9.1mm but at that size you are flirting with the knot pulling through the rap ring. To deal with this, a locking biner (which will bounce all the way down upon retrieval)or another rap ring can be tied into the double fig8 loop to back-up the knot if it pulls through.
An even better solution is a .5oz, .190" thick, 46mm diameter, 6061 aluminum plate I made with a 9mm hole in the center. Pass the 9mm rope through the anchor rap ring and then through the rap plate.
Tie a double fig8 loop on the back side of the plate. Now the knot cannot pass through the rap plate and the rap plate cannot pass through the ring. The plate is tied into the dbl fig8 loop with a keeper cord and the 15oz 3mm retrieval cord is also tied into the loop.
Using the thin cord as a retrieval cord allows it to be much lighter and to be uninvolved in the strength of the rap line.
Of course every solution creates it's own set of problems:
0)3mm cord tangles easily.
0)It can be difficult to pull on, especially without gloves.
0)On retrieval, if either cord jams once the rap line ascends above your position you are stuck on a wall with only a 3mm cord. (Are you prepared to prussik up a questionably anchored 3mm cord with your shoelaces per James Bond?? – Damn these velcro slippers!)
0)On retrieval, once the rap line pulls free if you don't catch it you will have a 3mm line attached to your rap line somewhere below. If either line hangs up as you pull up on the retrieval line…see above.
0)Rappel plate is larger than euro death knot or double fisherman which may make it more likely to hang up upon retrieval (it's also harder than a knot which may make it more likely to scrape along rock rather than catch on it.)
0) Plate bouncing down rock could be compromised (6061 is incredibly strong and much more ductile than 7075 often used in tent poles, stakes and trekking poles – also BD tested biners that Todd Skinner and Paul Piana dropped 2k' off the Slathe Wall and they failed beyond rated strength.)
Other than this, it's a walk in the park!
These are worse case scenarios and will rarely happen (if at all) if you pick the proper terrain and venues to use this on. The consequences of being stuck on a wall in August in Yosemite Valley are very different than in the middle of the Sierra in October. I have used this system several times with no problems yet.
Let's face it. Rappel retrieval is one of the diceiest, least predictable activities that climbers regularly engage in. Even with 2, 11mm ropes you can have retrieval nightmares.