Blog is taking too long to load (even after directing name server to CloudFlare)

My Blog Success Stories is struggling these days (it loaded pretty fine for over a year) and taking up to 2 minutes to load. When you try to access the url, the window remains blank for over a minute and then all of a sudden the entire page appears.

In the previous thread I was asked to fix my MySQL file (password and username issues has been fixed) but nothing happened.

I was told by BlueHost to use CDN (I choose CloudFlare and for some hours it loaded fine but then again started to crawl)

I was told to remove pluggins to see if they were the reason behind it (I did it but they seemed to not cause the issue)

Now what option am I left with. It is too frustrating especially when you are mentioned on BBC and you have too many people turing up only to find you loading for minutes.

I will appreciate your question. I really need to fix this asap.
PS: I have premium hosting plan on BlueHost and they say everything is unlimited.