So you want the larger size gumballs, like the ones you've seen in professional grade gumball machines, but without the added sugar?
Unfortunately, your request is impossible to fulfill as no major ball gum manufacturer makes the product you want. Why you ask? The reason is simple. The majority of the demand for one-inch diameter gumballs comes from vending machine operators. These people are a savvy bunch and they require their product to be relatively cheap so they can make profit. The cost of making sugarless gum is 3X the cost of regular gum and operators can't make money charging a quarter for a product with triple the cost, so there's not enough demand to support production.
Bet you didn't know that the only manufacturer in North America to make sugar free gumballs is Ford Gum & Machine based in Akron, NY. Yes their gum is made in America! All the sugar free stick gum that you see merchandised next to checkout stand at the grocery store happens to be made in Canada.
Click the link to support USA businesses and buy sugarless gumballs in a small size.