We've pretty much stopped using cloud drives and instead purchase a hard drive and case from Amazon and ship all content to the client whether they are local or out-of-state and just bill a flat fee of around $100-$150 to the client as a "file transfer fee". This way we aren't restricted by cloud/drive size and can ensure that all files delivered are not corrupt.  

Dropbox. You can share links to large files with it. 

Dropbox Pro account

I use wetransfer all the time. If your volumes are reasonably low like mine, it’s very good fit. Never had a problem, and most clients think it’s just fine.

WeTransfer has been simple and sure.

I use wetransfer.com. It is free up to 2 GB.

I agree with Seth. Been using WeTransfer to send large audio files for years. Never had an issue!

Hightail & Dropbox

As mentioned earlier, WeTransfer might a good option.

Dropbox is another option