You have to keep a heads up when going to a electric pump due to pressure.
Needs to be low pressure, in vicinity of not over 2 psi and a reliable pump is usually $50 or more. The low pressure pumps are not constantly run so a 3 amp DC charge system would run them ok and still charge the bat.
A 12v pump is nice if the eq sets for long periods of time so as to get immediate gas to the carb so as to prevent long crank times on/off the starter and not have to remove the breather for a prime, run bat down etc.
Just some more general info.
The main reason I'm modding the 3 screw carbs is the pump kits are wimpy, vintage and usually have to remove the carb to do a kit because of the small parts inside. (and pulse pumps are more long term reliable as compare to the 3 screw type pumps)
Whereas also a Briggs 4 screw carb PUMP can Usually be kitted while the carb is still on the engine and the complete kits even with the pump body are more readily available. (3 screw pump bodies and parts are not as user friendly and not as cheap).
First most any small engine pulse pump will work with the modded carb. I have used the $5 China pulse pumps with good results.
I was working on some Briggs carbs yesterday and seen one that looked like your pic as a 4 screw pump type.
The ones I've been modding are the 3 screw types so the 4 screw will be little bit different in the steps, but basically going for the same thing.
Next
I seen that China is NOW cloning the COMPLETE 4 screw Briggs carbs for around $30 as 693480, 693479.
4 screw Fuel pump kit 693502 @ $11
complete pump body 693487 @!5
4 screw Carb overhaul kit 693503 @ $10 This includes both the carb gaskets and the pump kit.