Re: 87 CBR600F cutting out probs
I think the fact that it's intermittent should eliminate the heat concern. Because it's intermittent, I would not rule out an electrical issue. If the choke allows you to "fix" the problem, that leads me to think it's fuel related.
Did you just buy it?
If you have owned it a while, did you do anything different recently? Maybe pressure wash it?
How long has it been doing this, and have you run through a couple tanks of gas?
Rickracer might be on the right track. Do you know the bike inside out? Are you mechanically inclined? When it dies, slowly open the fuel cap and listen for moving air. Also, inspect all hoses before, during, and after pulling the tank. Look for creases in the lines, and replace as necessary.
It's a great bike, hard to believe the original hurricane is over twenty years old now. I remember wanting one so bad back in the day!