My opinion, if you have a stock suspension and you put on wider tires and take advantage of the increased grip it won't be much fun. Without front and rear sway bars and maybe stiffer springs too, you will run out of suspension travel as the body rolls before you will run out of grip, leading to less than optimal handling. I have 205s on my TR250, but I also have the suspension mods.
It is more fun to slip around on skinny tires than lurch around on fat, sticky ones. That said if you like the look or feel better tires are available in the wider widths (probably true) then those might make more sense for you.