Mr Barnes delivered his outspoken proposal to more than 200 people at the combined annual town meeting and the town's sports personality of the year awards held at Woolmer Hill School last week.
He told his audience: "The precept should be increased by £100,000 to £240,000 and should be spent solely in the interest of the community."
"Currently Haslemere Town Council tax payers pay 78 pence per month" for the town's portion of council tax, "and this would be increased to £1.34 per month - not a large sum for enabling so much more to be done in the area."
He declared: "If the base is wrong it needs to be corrected and can be done - an increase of 72 per cent sounds horrific but 56 pence per month not so."
Mr Barnes told the meeting: "We have 1,500 electors and government regulations allow us to collect £3.50 per elector, shortly to rise to £5.
"We have never done this but many councils have. It would enable us to become a quality council correctly staffed for the wellbeing of our community and with more funds to help those that need it."
Mr Barnes also called for the staffing levels at Haslemere Town Hall to be increased by almost a third from its present 72 hours to 110 hours.
Currently the town hall is open three days a week on Monday, Wednesday and Friday. Last week Mr Barnes said he wanted to see a change offering a five-day-a-week service to the public and shortening the one-and-a-half hour lunch breaks enjoyed by staff.
"We need to meet the needs of a pro-active council working to provide improvements for the wellbeing of our community," he said.
Reiterating much of his civic dinner speech of two weeks ago, Mr Barnes again chided town councillors and advised them to check their facts before "making random comments".
"This would lead to a much more harmonious atmosphere in which to conduct town affairs," he believed.
He also passed on his good wishes to his successor Stephen Mulliner, who was expected to take up the reins on Thursday at the mayor-making ceremony.
But in a sideways swipe at Mr Mulliner's role as chairman of Haslemere Conservatives, Mr Barnes said he believed the mayor should be "independent of politics".
"It is hoped Stephen has understanding employers and that they will allow him about 20 hours per week to carry out his mayoral duties.
"Local organisations love to see the mayor's chain and the office of mayor is still held in high esteem by so many people".
He also repeated his friendly advice to the new mayor by asking him to continue to progress the five-year development plan for the town, including Wey Hill, change some of the town council rules to make it easier for matters to progress, and to delegate.
Mr Barnes outlined the many areas of achievement by the town council, thanked his fellow town councillors for their efforts and an "an exceptionally hard-working" town council staff.
"Despite some difficulties, my belief in partnership and teamwork has succeeded," said Mr Barnes.
His greatest thanks he said were to his wife Sarah who had "been so supportive during a very hectic year".
After the meeting Mr Barnes said he believed the town council should be discussing that points he raised.
"I believe we should be trying to encourage music and other entertainment, especially in relationship to the Haslemere Hall.
"Other areas open for discussion he felt were town hall staffing levels and "building the excellent base we have here for sport".
Mr Mulliner's short comment on the mayor's council tax increases and other issues, on Wednesday were: "It's a free country and Michael Barnes is entitled to his views."