The town’s Parks & Recreation Commission has decided to rethink its proposal about raising fees for promoters who stage events at Ninigret Park.

On Tuesday they voted to withdraw the recent proposal they had submitted to the Town Council, noting the adverse reaction it has received from people in town and the promoters themselves, and agreed to meet with each vendor individually, to structure a fee increase.

“I do not want to be a part of this body or any body that chases one event out of town,’’ commission member Bob Schiedler said. Schiedler is a former town administrator and town council president.

Commission members still unanimously agree that the vendors who lease the park for events like the Big Apple Circus and the Rhythm & Roots Festival must pay more than they do now, beginning as early as next summer. Many of them also expressed considerable frustration that this issue has lingered so long.

But their recent proposal to charge the vendors three percent of their gross receipts, coupled with a right to audit them, triggered such a firestorm, including a vow by the Rhythm & Roots Festival to leave town, commission members agreed that a new approach was needed.

The commission’s unanimous vote came in open session after a lively discussion that at one point pitted Schiedler against Town Administrator Edward Barrett, who suggested that neither Rhythm & Roots nor the Big Apple Circus would ever leave Charlestown because Ninigret Park is such a prime location for their events.

“Look at your asset,’’ Barrett said.

Barrett said the promoters had been undercharged for too long, or, as he put it, “They’ve been eating our lunch for 10 years.’’

At one point, the exchange between Barrett and Schiedler got so lively that the commission’s chairman, Dan Alves, intervened.

“Let’s not get into an exchange we all might regret,’’ Alves said, a remark that helped to calm things down.

After noting, for the record, that he had voted against the recent proposal, he suggested that the Commission “start with a clean slate,’’ and presented a step-by-plan about how it should proceed.

In addition to individually structured fee agreements with each vendor, this plan called for a sub-committee to come up with a new fee recommendation by the Commission’s next meeting in October and to seek the Town Council’s approval to hire a consultant to study the issue.

But Schiedler’s suggestion about a subcommittee was rejected in favor of the idea that the entire Commission should participate in future discussion and negotiations.

“This is a big issue in this town and everyone on this commission should have a say on this,’’ commission member Bernie Bishop said.

The discussion then started to veer into specifics about who should be charged what and which event makes how much, at which point Parks & Recreation Director Lisa DiBello suggested that such matters might be more appropriately discussed in closed session. To ensure the commission has the right to go into executive session on the issue of Ninigret fees, a decision it has routinely made in the past but was recently questioned, DiBello recommended that it get an opinion from Town Solicitor Robert Craven on the issue, which the commission agreed to do.

Earlier in the meeting, DiBello suggested that the commission’s previous proposal had been misconstrued, especially the part about auditing the promoters. It was never the commission’s intention to delve into their businesses in their entirety, said DiBello. Rather, the sole purpose was to have some way of knowing how much they make from their events in order to come up with a fee increase that was fair, she said.

Commission member Tom Gilligan echoed this point, saying, “We really don’t know what these people make.’’

During the course of the meeting, commission members agreed when it comes to negotiating future fee increases, for-profit promoters should be treated differently than groups like the Chamber of Commerce, which sponsors the Seafood Festival and brings the Big Apple Circus to town.

“We can look at the Chamber differently and we should,’’ Schiedler said.