If it doesn't mess up anything else, it would be easiest to reassign drive letters, so make the H: drive the G: drive. 

I'm using F: for all RL content, and I use the same drive letter on all systems that run iClone. That way, when I copy a project from one system to the other, there are no file not found errors.

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76% of original size (was 661x19) - Click to enlarge

There is one issue I forgot to mention is that I use a VPN and had to turn it off sometimes for iclone v7/8 / CC v3/4 to recognize  and link the accounts correctly for the content to show in content manager (I turned the VPN back on after the files were re-linked in the settings of the content manager)

This was time-consuming, took several tries from syncing, but in the end was worth freeing up the drive space off the C drive. I hope your assets get sorted out