A Miata is a great car, and one we all can aspire to handling wise, but your point backfires in the this conversation somewhat being a race Miata might weigh in the 2400lb range, and the most tricked out Miata might be running a 275 tire, us running our unbalanced 3400lb cars comparatively would need to be running say a 390+ series tire to try and be even in the same league for grip, meaning, it is in reality a pointless comparison for reference. A 275 tire is the min for any serious track use for our cars.
Has the OP changed his mind on not wanting a short sidewall tire? I define a short sidewall in this context as anything under 60 aspect.