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coilovers wont cure this problem ... ?? cut your strut down, lower the spring seat the same amount and this is how much lower the ride height will be with the same springs ... put in lower springs and it'll sit lower ... put in rediculously low springs and you'll run out of travel and be back where you started in relation to hitting bump stops. but it'll be lloooower ...
you can put in coilovers and wind them all the way down and if the springs and strut body aren't matched you'll still have bottoming out issues ...
i think you need to be realistic in what you're hoping to achieve in ride height ... if you want it on the ground you'll be up for a bit of work and then the rest of the suspesion geometry will go out the window and the car will bump steer all over the place, probably become unpredictable with tramlining in road grooves and on the roads camber, and running big width/dia front wheels it'll become a handful on anything other than a dead flat road/racetrack.