mosttoy, if you look he's from Ohio. What applies in Texas, doesn't apply to every state.
As to the original post. Unless Ohio has a mandatory 7 day waiting period, you shouldn't have any problems. The last gun I bought was on a weekend and the background check only took maybe 2 minutes. The guy who called it in was pretty happy after getting off the phone, exclaiming, "That's how fast and smooth all these calls should take!!" and I was out of there in no time at all.