You will have a lot more luck with parts for your Chev here in Australia than I have for my 59 Oldsmobile, but then I dont need any parts anyway as my car was complete.
However,
Go for JUST PARTS magazine from the newsagent, there is are usually an odd Chev 59/60 for wrecking there both private and wreckers down Vic and S.A.
JUST CARS magazine at the last few pages have club notices etc, I go the the club websites and check their links usually find links to spare parts places or people wanting to wreck a car privately.
I get a lot of chrome from American Ebay its reasonably cheap to ship here except very long stuff. Doors and bonnet will cost heaps.
I have joined forums from America for my Olds and the info from where to get parts is endless. You will find the same for Chev forums.