While some folks could only wish for the kind of support Barack Obama has received locally, Time.com reports today that the celebrity status of the Obama campaign comes at a price.

Prior to Monday’s debate, the campaign had scheduled an intimate event at a local diner and intentionally kept the event out of the press. It was probably best since the campaign had to cancel the event, but the whole idea that they wanted to avoid a crowd interested me.

It would appear from the Time article Obama has had problems with overcrowded events in places like Sunapee, N.H., where he had planned a small July 19 event.

But the lure of Obama drew more than 500 people, many of whom drove for more than three hours from neighboring Massachusetts to this hamlet of 3,000.

“It’s exhilarating to get crowds like this,” said strategist David Axelrod, gesturing to the Manchester crowd of more than 650, “but we are trying to mix it up a little and get smaller groups as well, so that the nature of the interaction is more personal.”

“It’s a high-class problem to have,” Obama told reporters the next day, adding that he planned on making more surprise stops at shops and diners in order to better connect with voters.

What he means is that it’s a problem that other candidates would love to have. It’s also a problem that’ll only get worse for Obama. I heard the specifics on Monday’s planned surprise diner visit on the street before I got the news from the campaign. And surprise visits are only going to be more difficult as Obama’s popularity grows.