How long will the electricity be off? Last year mine was off all day and my 3 tanks came through with no problems.
Using a battery powered air pump will keep the water circulating and this should keep your bacteria alive. They are nowhere near as delicate as was thought when that article was written. I joined Thinkfish in 2006 (the old version of the site, not the current one which has only been going a couple of years) and the articles were all there then. I would put the tank end of the air line (sea chest ornament, air stone, whatever you choose) on top of the substrate.
Or, maybe push the air line tube underneath the rocks without disturbing them too much. You could do that in advance so any mess has time to settle, then connect it up to the pump just before the power goes off.
If you can move the tank to a room which can still be heated, do that. If not, wrap the tank in something as the article says.
Because this is a planned power cut, you can feed the fish more lightly for two or three days, then don't feed at all the day of the power cut. This means less ammonia will be going into the water on power cut day. Feed lightly again for the next day or two.
Keep an eye on the ammonia and nitrite levels for a few days until you are sure the filter has come through OK. If you do see either or both above zero, you'll be going through a mini-cycle. It won't last long, just do water changes as necessary.