Is possible to compile and programme ATtiny10 with AVR CrossPack?
The AVRA assembler can be used with the ATTiny4/5/9/10 MCUs and you can use an FTDI chip in bit-bang mode to program it.  I'm using a Mac myself and have taken this approach for now.  I'm not sure of the version of AVRA that comes in CrossPack is new enough and you will need to install a newer version of avrdude but it is possible.

I have a simple example on github here.  It seems I might have patched my copy of AVRA for the 4, 5, and 9 but I believe the newest version supports the ATTiny10 on its own.  As for programming, that site you linked to is what I used to help me program them with an FTDI chip. You just need to add the programmer definition he has on his site to your avrdude.conf file and hook the it up to the pins mentioned in the description and it should work.