I would not use a BS250 since it has high leak current.
Better choice would be a PNP transistor like the BC857 with a BC847 pair to turn it on.
Resistor would also be dimensioned lower, say c-b at 10K to keep the PNP off and another 10K to turn it on by the other NPN transistor.
I use such a selection for a commercial product working on a 9V battery. My caps are 10uF and charge through PNP internal resistor with no problem.
Ioannis




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