What's the car used for?
Honestly, if it's a road car I really wouldn't bother going wider. If you're genuinely getting close to the limits of grip on a 182 on the road then I'd start with the basics, are all the bushes in good order, how old are the shocks, when's the last time the car had an alignment - a fast road alignment can make a big difference. Once you're good with all of that, then maybe consider stickier tyres.
Throwing extra grip at the tyres won't help you if the underlying car and geometry isn't in good condition.
Be wary about applying tyre tests from different sizes onto the standard 16" wheels, performance can vary quite a lot between sizes.
NS2Rs are good, but noisy.