I doubt that any regular consumer battery backups will work (if I understand correctly of what you want to do) since even if you use multiple 1000w APC UPS it would only have enough power to keep your miners on for a few minutes since they are made so that you have just enough time to properly shutdown a machine or protect against temporary brown/black outs.
Even then the battery will dry up really quick because of all the amperage that those miners will pull. If the 2Th boxes take about ~1w/Gh I doubt you will get more than 10-15 minutes depending on what kind of UPS you use and at a residential home each room would be on a 20amp breaker so you would have to use an extension cord as if it draws even 1800w it will easily overload the circuit.
The other options are to get the industrial battery backups with huge banks of sealed lead acid batteries stacked in an 8ft extra large cabinet although that is very expensive and most likely only at mission critical business that need all their servers to stay on for an extended period of time. Data-centers would likely have those as well but I'm pretty sure that they also use a generator as it would be cheaper than huge battery banks.
If you have multiple machines at a non-industrial setting, I suggest you upgrade your power and run 240 lines to another breaker box next to your miners (where ever you are keeping them) that way you can plug the PSUs into separate circuits and if one trips the other should still run and it would be easy to determine which breaker went out instead of non-dedicated circuits which would then turn off everything else you have plugged into that room/circuit.
Another option is that you can get a generator, a nice one that should power all your miners should be most likely less than what you paid for your 2Th miner, all you need is to give it fuel! If you have LPG at your house you can get a LPG powered generator and install it next to your water heater and hot air furnace and even tie it into your main house panel (although I'm not sure if it is the most cost effective method).
If you have the miners at an industrial location then you most likely already have 220-240v service, even better if it is 3 phase as that gives you more total amperage to use but if the power goes out same deal. Nothing but a very expensive bank of batteries is going to keep the miners running for a long time so a gas generator may be the best bet again.
Of course, if the power is out then you most likely won't have internet access so it's kind of a moot point.
BTW is this the CT miner that you are getting?
