You stated a "major bump"...
Most of these Vettes with wide wheels will drag you all over the road when hitting bumps, ruts and puddles. Since the Vette is new to you, I think you're on the right track of getting the simple things checked first, for safety's sake. Even if things are a little out-of-whack, it would cause great tire wear, and strange things to happen with your steering capabilities.
I'd also reccomend just driving and getting used to the unique personality of your Corvette on all road surfaces. We recently moved to a new state and I drive cautiously until I know what and where the road is going to throw things at me that will drag me all over the road. Learn where the dips, bumps, potholes, ruts and puddles form on the roads you drive.
We lived in WA state before moving to Georgia, and driving to Portland, OR airport...there was a stretch of the highway along the Columbia River that would toss the me and the 78 all over our lane, and try to get us in the neighboring lanes, as well! Drove it once in the rain. Scary! :eek I'm certain the vehicles behind us thought I'd been imbibing alcoholic beverages heavily!
Anyhow, welcome to the CACC Claborn.
Silver & Hubby aka: Heidi & Ken