Can I use a dual high-side low-side gate driver as a dual low-side driver?
Yes you c an use both as low side drivers,although the high side is filtered to prevent shoot thru failure simultaneous switching resulting in a dead band required for totem pole switching, so no effect in  half bridge.. 

Edit:

I think the chip is a complementary output drive going to what I understand is to drive low side in half bridge  with center .tap to DC.  The is somewhat like a secondary diode half bridge using 2 diodes and center tap ground. So there are are VI tradeoffs when using this method, less voltage, more current..   This chip has good deadband filters for commutation on the high side, but you wont need this.

I would explore the tradeoffs of open-drain inductive switches vs tri-level active outputs ( full bridge ) with 0, +V , -V methods for sine inverters. Look at IGBT switches , which are preferred for large sine power motor controllers.  

If it were my design I would use the lowest MOSFET or IGBT resistance switches that I could afford , in milliohms.
Read this all about Switching...Theory in semi's. then decide. It compares the old SCR, MoSFET with IGBT and newer enhanced gate types. Toshiba makes these too.