Secondary linear lamp circuit interrupter switch
This really is not a free design service, but since you quoted my answer to your previous question, I'll give you one more freebie.

You could use this simple method.. The switch enables the flash through a cap so it will only be on a short time. D1 and R3 gives the cap a discharge path. 

Meanwhile, the switch also pulls the gate of M1 low and discharges C1 through D2, killing your timer.







simulate this circuit &ndash; Schematic created using CircuitLab

The flash would not be that bright though since the cap, unless it is very large, will likely charge faster than the lamp can heat up.

However, at this point you would be better to go for something a lot better controlled that gives you some manual adjustments like the 555 (556) circuit below.







simulate this circuit

Or better still use a small mirco that uses electron vapour to run.