Not an LCR expert, I'm more into diesels, but you have a high-spec premium sports hatchback, so I guess you realise that you need to fit it with good tyres, or all the money you spend on improving performance is wasted coz the tyres can't put it down on the road.
Those four contact patches are the most critical factor in the way your car behaves. For myself, I go for good grip in general, good wet grip (which means good performance when cold plus good water-clearing capabilities) and reasonable life, with road noise lowest on the list. I'm sure there will be a few people along soon who have LCR's and will tell you their tyre choices, but always keep in mind your own personal set of requirements for tyre life, wet and dry grip and road noise - the balance of these factors will decide what you should go for. Oh, and cost, but that should be low on the list, unless you just want to cruise...