There is yet another option to retaining the sugar/sweetness and all sorts of carbonation and not have any yeast issues:
Hit your desirable gravity and sweetness then filter it to remove the yeast. Yes, I opened the TROLL gate on this one but it works and works well. I have been working with a local winery to develop a method to get a good, refreshing apple-pop for the ladies and we have been talking with a few west coast commercial cider makers and while they will not give us any secrets, we have been pushed to filter by them all.
At home, I make my cider as usual but use a 5 gallon corny keg instead of a carboy and attach a spunding valve, change it to 7 psi and open the valve to crack open at 7-8 psi. I take samples (very small ones for the refractometer) to keep track of where I am at then sample it by tasting it once I hit my target gravity. The last batch was stopped at 1.020 and filtered under pressure to another corny keg.
I use a simple spun polyester nominal u1 filter in a 10" housing attached to tubing and two OUT quick releases (ball type for me) to transfer the cider to another corny keg. u1 nominal, polyester spun filters seem to provide the perfect pour size to catch yeast cells and as long as there are not a lot of debris in the bottom of the keg, the filter will not clog. I go very slow and take my time with the transfer, I also pre-whet the filter with StarSan so I dont get the cardboard flavor and I do a VERY quick CO2 purge of the filter assembly to help push some of the O2 out.
I would be happy to send you a bottle if you like.