If you have the option, setting up a new tank on location even a couple days in advance (obviously not new dry rock) will help. Run a foam filter in the old system for a couple weeks, then swap it to the holding system. It has one tall baffle dividing it but I have a 75 you can borrow for a couple weeks, or a 50 (not a 55) if that's better.
Supposing you do opt to stick with the trash can, under normal circumstances yes, they will survive. I've done 24 hours in bags driving across the country.
As with reefing, this is going to be about keeping water.
The primary concern is temperature.
The secondary concern at that long a time period is waste buildup.
Normally I consider aeration/water movement to be secondary, but I'm going to call it a close third in this case.
Temperature is easy, assuming it doesn't get too hot. Use a heater. Of all the emergencies I've seen start while doing tank moves letting the fish get cold in buckets is the number one problem.
Waste management is going to be a bit of a concern. Even with you not feeding for 24 hours in advance the fish are going to get nervous and make a mess of their water. I would use tank water so long as you can, but plan to change the water after the first (making a guess here) 6-12 hours, aka at the end of the first day. My relative who ships fish (freshwater) moves livestock from its home to a temporary holding tank the evening before he ships. He says this greatly improves the survival rate as the fish quickly soil the first place he moves them to, but don't have much left in them to foul up the shipping bags. I've seen the same on one of my moves. I bungled a departure and had to delay 24 hours after I tore down a system. After 1 day I re-bagged the fish. The water from the first 24 hours was disgusting. The fish ended up bagged for almost 30 hours on the second bagging, but the water at the end looked much better.
Put the coral in different containers than the fish. It may slime quite a bit, which will not help the water quality any. No sense having two sources of slightly incompatible waste in the same container.
Battery powered air pumps work, but so does an inverter, a normal air pump, and some splitters. The latter is likely more effective if you have lots of containers in transport. If most of the time stopped is at either end where there is power then the inverter isn't needed.
If you have sand pull it out, and don't put it back in until it's been rinsed, which will be after the fish and coral are back in. Do not rely on doing a drain, move, refill without disturbing it and DO NOT scoop it out and dump it back in without a rinse.