Here is a relatively simple and cheap system that has worked well for me. I add a little stock sulfite solution and a saturated sugar solution to adjust my residual sugar before re-capping and have had no problems with re-fermentation (yet).
You need at least two rectangular tubs (mine are plastic fish totes that commercial fishermen use), some livestock screen wide enough to fit champagne bottles or hay wire to make a mesh, and a wooden frame.
Fit a wire rack frame in a tub or use a cardboard champagne box with dividers. Give each bottle a good shake and place it upside down in the rack and after a few minutes check the crown caps to see if any of them leak. Then twist each bottle sharply every day for two or three days. Let the lees settle (2-7 days). The lees will not be very compact so take care not to agitate the bottles or turn them right side up until the necks are frozen. Put a wire rack in a tub then fill it half way with crushed ice and just enough water to make it easy to submerge the inverted bottles. After about 45 min, add crushed ice and rock salt in a weight ratio of 10:3 to the second tub. Mix the ice and salt with a shovel and add a wire rack.
After about 45-60 min the bottles in the first tub will be just above 0 deg C. Move them to the tub with the freezing solution which should be no deeper than necessary to accommodate the necks to twice the thickness of the lees or 5 cm which ever is deeper. Give the necks 5-10 minutes to freeze then disgorge. Be sure to have a bucket full of sanitizing solution to dip the necks in before disgorging to wash the salt off and prevent contamination. Don't let the necks freeze to the point were the ice develops past where the neck starts to increase in diameter.
If you used bentonite when you bottled, your lees will be more compact but take longer to riddle. Your pressure should be at least 3 atmospheres to properly expel the ice plug and retain much residual carbonation. I have used bindles and find that they help a little to eliminate residual lees that may stick to the inside of the neck (risk of re-fermentation) but it takes a little more pressure to expel them reliably. If you add a sugar syrup, you will see a slightly cloudy layer in the bottom of the bottles for a few weeks. This seems to be a dense layer of sugar syrup that takes a little while to disperse into the cider. I also keep a PET test bottle that has been disgorged with a pressure gauge mounted in the cap to get some advanced warning if fermentation restarts.
