I believe the Evora is one of the best all around cars in the game and the best all around Lotus as well. The 111R is excellent too, but will struggle a bit on the longer tracks. One thing you can try is to add ballast to the 111R so you can up the hp. Top speed is highly dependent on hp. So a lighter, lower powered car at 500 pp will corner better, but a heavier, higher powered car will be better on back half of the longer straights...usually.
I find the Evora does both quite well. The older, non-premium Elise's suffer from one drawback...lack of a 6 speed gearbox. Not so much a problem in the V8 Esprit although it could also use an extra gear.