Quite difficult to verify things without an oscilloscope, because you can't verify if the HIP4082 outputs are correct and not overlapping, which as TheMG said, is fatal...
And the voltages about you've asked, aren't of any use to you, because all signals are PWM signals and with a standard multimeter is difficult to diagnose.
Also don't blame only HIP4082 for burning the mosfets... It only replicate/amplify the signals it gets.
For a description of this kind of UPS principles you can take a look at this, using Google translate:
http://www.mirpu.ru/ups/84-shemups/146-su1000.htmlAlso, a schematic pretty close with what you have is:
http://www.mediafire.com/file/aro51tm0krudbka/APC_640-7732H_SMART-UPS_1500.pdf/fileBy the way, from where did you find and bought the SMD version of HIP4082? Because I've managed to find only the DIP version and I had to improvise...
In fact, if it isn't too much, where did you find all the ICs you said you replaced three times?