After re-installing the plugins I found that the bitcoin site had once again redirected to the random youtube page.
I was very concerned that this was possible as my wordpress was completely up to date and all files were fresh - whoever was doing this to us somehow had managed to once again compromise my website. The database appeared untouched - and my backend still worked completely - I was able to log in and view all my pages and posts as an Admin account.
I decided to go about the task of individually disabling plug-ins and discovered that when I disabled "Easy Google Analytics Dashboard plugin" things returned to normal.
This plug in is obviously compromised and I recommend that you do not use it if you want a safe and secure site.
If you would like to see the site fully restored to its former glory, here it is: Free Bitcoin Giveaway
