It has held six public meetings throughout the district and three open days at the stadium, the last on Saturday, when Mayor Craig Rowley gave a presentation then discussed the project with people.
The project is open for public consultation, with submissions closing on April 1.
''It's an opportunity for everyone in the district to be heard,'' he said, urging people both for and against to put in a submission.
Emphasising the new stadium would not be ''just a basketball court'', he said it was ''a facility for all the community''.
The council has based all its estimates on a ''worst-case scenario'', using a loan to pay all the redevelopment cost, then paid back by a special rate on individually occupied properties.
That would result in the targeted rate rising from $10.21 per property to almost $33 in the 2014-15 rating year, and by a further $55.09 in the 2015-16 year to a total of $88.
However, Mr Rowley said that scenario was based on receiving no outside funding. Any extra funding would reduce costs to the ratepayer, and he hoped up to $1 million could be raised.
After submissions have closed, the council will, on May 6, consider whether to take the next step of getting final designs and costings.
One of those at the presentation was Noel Grantham who, with wife Wendy, runs the senior social sports programme at the stadium, which has about 30 people participating in badminton and indoor bowls every Thursday.
''Just do it and all the bits will fall in to place. We've spent too bloody long talking about stadiums,'' he said.
The plan is to retain the Waimate Squash Club's courts and facilities, cut the existing stadium in half lengthwise, then build out to provide extra facilities.