Actually you don't NEED a V rated tire. Who said that? Are they working on commission? The only real difference between an H (or any other) rated tire and a V is the max speed at which they're rated. It's mostly about the material they're made of, belt configuration and how they're constructed to avoid warping and how they dissipate heat at high speeds. Handling doesn't factor into it as much as speed.
Consider this: did you ever drive at the 149mph rating of the V tires that came equipped on your car? Do you take hard fast corners? If not, you don't need a tire rated that high. In fact, you don't want
a tire rated that high because there's no reason for it and you'll just be wasting your money and narrowing down your tire selection. An H rated tire will go up to 129mph, which should be plenty for daily driving and by dropping a rating you likely won't lose handling you'd notice unless you take your car to autocross events. In fact, you'll open up your selection to more tires and probably be able to find a tire with good handling that is affordable to you. I'm on H rated tires and my car corners fine at 45mph and I can get around one of those traffic control islands at 35mph. You might even notice less cabin noise and get more life out of the tires if you go with a good tread pattern on Hs instead of Vs. Some higher rated tires are made of a stickier material that will up handling a bit, but at the cost of longevity of the tire. Not to mention there's less resistance when the material isn't so sticky and you might see a bit better gas mileage if you drop to an H. These are things you should consider.
And I've hit 135mph on my H's and the world didn't implode
I know I have a thread from some other forum bookmarked that goes into this in better detail than I can and I'll try to find it for you.