Hi from a newbie!
Fuel starvation problems. I just wrote a considered reply taking about an hour of thought, but my ISP thought that was too long so I was unable to submit it. Ah, broadband, one day, perhaps.
Anyway, the edited highlights. If you think you may have vapourisation, its symptoms will be what I would call fuel starvation.
If when you try to accelerate hard, it runs out of steam; when you try to sustain high speed it gradually dies; when you slog up a long hill you have to keep changing down when she would normally romp up a shorter hill of similar or greater slope, you probably have fuel starvation.
Possible causes are fuel pump dying but not yet dead. It may appear to work ok but may not be delivering
enough. Remove the fuel pump, insert the actuating rod and measure the max and min excursion of the rod as you turn the engine by hand. Sorry, I don't know what the figures are for the bis.
The fuel filter may be getting clogged up. If you haven't replaced or cleaned as required, its probably time you did. If your fuel filter has lots of brownish stuff in it, you may need to flush your tank (common with cars that have been laid up). You can also buy a proprietary tank flush, but then you will need to do the filter before and after, and then keep an eye on it for a couple of months. If you don't have an in-line fuel filter, you can fit one for about ?3. Your carb would also need cleaning.
The fuel tank breather may be blocked. This will create a partial vacuum in the tank. It could be that your filler cap is non-standard, the old rubber breather hose is pinched or clogged or perished.
If you think your problem is not related to sustained engine load, but to temperature, try this simple one. Run the car in the worst possible conditions, ie stationary for 20 -30 minutes, in the sun on a hot day. If the problem occurs during that time, you do indeed have vapourisation problems. Check then that you have the right insulators and spacers between the carb and the manifold, and perhaps a heat delflector. If not, then replace or fit them. You would need to check all these things with the manual, as I have no experience directly of the bis, as mine is a 652cc.
Sorry, but I can't be specific about the bis, as I have not yet owned one ... but, one day...
I hope the basic diagnostics help. Perhaps you would post to compare notes.