I was about to reply but flyboy has summed up my points perfectly.
I loved my 350, the noise and the raw handling it was great. I test drove a 370 and was underwhelmed, the stock exhaust was a big let down, there was no noise. I then had a 370 loan car for 2 weeks, it was not my choice of colour, it was an auto and again had the stock exhaust. At the end of the 2 weeks I wanted my 350 back.
But something kept niggling at me. I loved the side profile, the wheels, the cabin, took a trip in guns with a stillen and realised what the car could be. I went for it and it was definitely the right decision. It is a different experience, it felt like it has a huge well of power there and with a proper exhaust sounds great but you are aware of more technology between you and the road so as flyboy said its not so raw.
I recommend take one out for a longer drive and go in one with a non stock exhaust and you won't look back. But you will need to increase your budget