With Premiere CC, you may be able to do basic syncing with multichannel audio. PPRO treats mch WAV files as n x mono (grouped) audio clips. Assuming you have a 6-8ch wav, make a new sequence with "multichannel" 6 or 8 for the audio master.

Then assign your audio channels to the appropriate pairs (1+2, 3+4) in the audio mixer. Don't for get to pan the tracks L & R alternately.

Group the clip with the video & Make your cuts.

Monitoring will be hard.

You should then be able to export in your desired format (SR, bits, #ch).

For 6ch/5.1, monitoring & assigning the channels will be easier.

===

PPRO's actually bad support for editing files already in 6+ch is bad, which is why I don't use it unless I really have to.