If you can deal with the 100 millisecond flicker, then you can buy a standby UPS for about a C-note or two. The online versions (ones which always use the battery) are a lot more expensive.
If you want to DIY it, you can build a wooden box, toss in two 6 volt golf cart AGM batteries in series, add a three stage RV battery converter and a Morningstar SureSine 300 watt PSW inverter. Just as good as a $2000 online UPS for this amount of electrical load, and it would have definitely more than the 140 ampere-hours as calculated above. As an added bonus, if you wanted to add solar panels to your S&B house, it would be easy to wire up the panels to a charge controller and feed the batteries with the CC.