Fitting larger tires on the Cross, unfortunately, will likely affect your acceleration. I've come to the conclusion that, since there's not enough usable torque coming out of the drivetrain (thanks, CVT), that messing too much with wheel specs will definitely hinder fun.
I would always consult Tirerack reviews and comparisons for the best options. Personally, I'm a huge fan of Michelins, with Contis a close second. The new CrossClimate 2s are awesome - and a lot of people think so, too. Though in my recent search for a replacement all-weather/all-season tire, I'm deciding to stick with Conti DWS06s, since Michelins tend to run a tad bit heavier than the A/S Contis. The reason for this: we did a cross-country drive up the mountains this winter, and I opted to go with run-flat Michelin Alpin ZPs. Fantastic traction - but HEAVY as fuck.
Result: I averaged 16.x mpg. NOT fun.
And so therefore, since it's Spring anyway, I'm switching both tires --- and opting to replace wheels to a lighter one. Because, it's not fun dealing with a sluggish, gas-guzzing Cross. (I maintain - this engine an absolute horrible match with the transmission it's mated to.
So - in summary, you don't want to get larger tires as there are negative consequences to doing so that will make the vehicle otherwise less fun. Get good tires to match your intended purpose. In your case, most A/S UHP tires rated M+S, or if you're in cold-weather clime, and are looking for a recreational tire to take to the rocks or mud - something with 3PMSF will do just as well (soft compound, very pliable, and depending on the tire, can double as decent rock-climbers).
