The Tisbury selectmen voted Thursday not to support the school building committee in its bid for more time to sort through options after the failed vote on the new school last week.

But building committee chairman Colleen McAndrews said despite the lack of support from the selectmen, her committee would still send its request to the Massachusetts School Building Authority.

The events added another twist to the aftermath of the vote by the town to reject a Proposition 2 1/2 debt exemption question for a $46.6 million new school.

The school building committee is required to send a letter to the MSBA by May 8 outlining its plan following the vote in order to keep the possibility of $14.6 million in state reimbursement money on the table.

As explained at a packed, emotional meeting Monday, there were only three options:

• Revote the project before a mid-June deadline, believing that the plan could be approved by the town the second time around;

• Request an additional two to three months to explore whether the town would consider a revote;

• Withdraw from the process, forfeiting the opportunity to get $14.6 million in state reimbursement money.

After three hours of discussion, the school building committee voted to take the middle course and ask for more time.

But on Thursday the selectmen took a different tack. All three said they looked forward to starting over on the school plan, but that they could not support the vote of the school building committee.

“I don’t think time so far has been wasted if we say no,” selectman Tristan Israel said.

“I’ve felt and still do feel that that’s the wrong way to go,” said selectman James Rogers.

“We need to work harder to develop a project more people can really be enthusiastic about and support,” said selectman Melinda Loberg, who also sits on the school building committee.

Speaking to the Gazette by phone after the meeting, Mrs. McAndrews said Vineyard schools superintendent Matthew D’Andrea would still be sending the original letter — only without the selectmen’s signature.

“I felt very disappointed,” she said in part.

It all capped a tumultuous week for the town which has been deeply divided on the new school question.