Hi Mr. Limited,
I agree with Mike92. Actually, I would really really suggest you to at least run the new, thicker power wire. You may think that the amps only 240 watts, but that's a huge different from our puny stock amps. If you always played the amp at low volume, than it wouldn't make a difference, but if you want it loud and your amp is trying to pull more power than the wiring will let through, it hurts the amp and shortens its life span. Amp kits for your amp should run no more than $20 for everything, including the inline fuse that's usually already spliced in for you.
Are you keeping the stock radio, or are you using an aftermarket? Although it seems like a bit of work that you're trying to avoid, what you're attempting to do is actually probably the most intimidating part of the whole thing. If you're going to open panels, remove the stock sub and replace amps, you might as well go the few extra steps and run wiring while you're at it.
As for the signal inputs, I don't really know for sure. A long, long, LONG time ago, there was a post on this board where someone just spliced RCA's on to the existing signal inputs, and he said it worked fine, but I don't know of anyone else who has done this, so I won't totally back this, only because I don't know what the stock head unit puts out in signal voltage.
However, you could probably ask any tech person at the following sites that deal with this stuff:
http://www.stinger-aamp.com Look in the Periperals Electronics pages.
http://www.pie.net
http://www.soundgate.com
All of them deal with this type of stuff, mostly adapters for new radios to stock amps. What you want is new amp to stock radio, so tell them that, and they should hopefully help ya out!
Jon