Both tires by Michelin are great on a CRV. The Cross Climate though, gets Consumer Reports Top rating in tires, and in Michelin tires.
Only downside to Michelins is they are pricey compared to some other brands, but generally speaking you do get what you pay for where tires are concerned. Personally, I only put Michelins on my vehicles.
Keep in mind.. on an AWD vehicle, particularly SUVs/CUVs... you likely will NOT get the warranty specified mileage on any tire, Michelin or other brands. Having owned CRVs and Accords for years, my experience between our Accords and CRVs is with the same exact model tire the Accords generally get close to warranty rated miles, and CRVs get about 75% or warranty rated miles. So set your expectations accordingly.
