I ran our rig with a 2000w MSW inverter and three 27DCs like that for a year with no real trouble. (We have since gone up to four batteries so we have more there to play with)
That included running our MW that wants 1500w input if on shore power or a PSW inverter. The secret is that MSW inverters draw fewer watts from the MW because of wave forms etc etc, and so the amps draw on the batteries on ours was more like 110a instead of 150a as it would be with PSW. The MW runs a bit slower but still gets the job done. (Warning! Some brand /model MWs really hate MSW, so you must cross your fingers and try it out. At least MWs are cheap to replace, so it is not a great risk involved)
That 110a would go with the inverter drawing 1100w using the divide by 10 rule. So IMO that 1500w inverter will run the microwave and those three 27s will support that for a few minutes at a time, not many times. You can also use a proper toaster :)
Those Can Tire Xantrex inverters are ok and Can Tire has a good return policy too. No worries there.