Web-Forwarding to a URL for my Hosting Company

Hello all,

Hopefully someone has some insight into this.

I have an external web-hosting company.  My website is hosted and exposed as a URL (not a direct IP).  For example:   http://www.myco.com/~mydirectory

I've forwarded my Name Servers to Office365 for Outlook, SharePoint Team Site, etc, etc. and want to keep my website hosted exactly where it is.

So, now, I have Office 365 as the Name Server for my domain and would like to forward any www traffic to http://www.myco.com/~mydirectory

This doesn't want to work.  I try an A record www creation and it's IP or nothing.

I try a CNAME www creation and it seems to have a dislike for the tilde ~ symbol.

My previous DNS provider just allowed an option cleverly named... web-forwarding.

Any ideas?