Hi Casey,
There should be some company locally that will sell you gold wire. Check some of the jewelry supply places locally as they will sometimes sell small quantities of gold and silver. Check Fire Mountain as they don't seem to care if you have a resale license or not.
All metal work hardens as it is bent, shaped ,made thinner etc. irregardless of if it is silver or gold, platinum, copper, steel or whatever metal. Silver will always be softer and easier to bend and shape than 14k gold both in its fully annealed state ( the softest state) and when it is fully work hardened.
Gold and silver have a memory which means that if you try to move it (bend etc.) it always wants to go back to where it was before you tried to shape it. It is springing is another way to say it, it always wants to spring back to its original shape, and more so if it is work hardened.
Personally I like to use dead soft(fully annealed) 14k wire if I am trying to wrap something. I'm not a wire rapper though, just a goldsmith.
DFrey