If you want to do it right, and since you seem to be interested in increasing your car's power and overall performance, it's going to cost a bit more than $200.
My total on parts - springs, c/c plates, bumpsteer kit, rack bushings, poly isolators, and lower control arms was over $1000. And I still need to do shocks/struts.
Before you get into dropping the car though you should figure out why your front wheels are rubbing. Without any pics I can only guess that it has some sort of generic/multiple application aftermarket rims that have too great of a backspacing dimension. If you drop the car and keep those wheels, the problem will likely become magnified.
But to your question.... If looking to do this on a budget then yes, you can get away with springs only. Honestly, you could even go to Harbor Freight and get a grinder and set of cutoff wheels and just cut the stock springs. As long as you don't exceed 1.5" on the drop then c/c plates usually aren't necessary to correct alignment, nor would you need a bumpsteer kit or offset rack bushings. As far as the lca's that's just a smart move to deal with those at the same time since it's all gonna be apart anyway.