Skinnier tires actually do better in rain and snow because there's more pounds per square inch pushing down because there's less contact patch to distribute the weight. As long as the tires have siping for rain, there should be no problems with hydroplaning. The 245's on the back of my mustang are kinda iffy in the rain and can feel them lift up a little (hydroplane) when i hit a puddle on the freeway going 70mph (they have 9/32" tread left too, so they're not even close to bald). My car used to have 195/75R14 tires stock and those things wouldn't hydroplane at all, but it was easier to spin them if i accelerated hard, especially in the rain. Another bad thing about wide tires is they catch the grooves in the road and make the car wander more. The plusses of course are better braking at the point of locking the tires up, and much better handling around corners, but chances are if you have really soft drag racing suspension, taking corners fast is almost suicide whether you have wide tires or not.
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'84 Mustang 5.0 LX
My car