In the last week I've flown that route 4 times and each time we diverted up to 60 NM off track, no big deal. The CB's and larger convective clouds were quite clear on the Radar and we avoided them.
You do need to be very pro-active with the radar tilt, gain and range.
It is very easy to miss a small cell and for 5 to 10 seconds "run into a small isolated cloud top" by mistake. Most of us have been there and done it, it's just that on those occasions nobody was injured.
Just another reminder to be very careful whilst avoiding WX in IMC ( day or night )