Town boss Jim Harvey still believes his team can avoid relegation after their 0-0 draw at home to Eastleigh kept them in the bottom four.
Halifax were the better side on Tuesday night but have now gone six hours without a goal after wasting several good chances.
Harvey was pleased with Town’s performance but remains deeply concerned about his side’s lack of goals.
“I thought we were excellent,” he said.
“It’s the same problem though of not putting the ball in the net.
“It’s a real shame because the effort and the commitment from the boys is tremendous.
“At this time of the year to play like that and put the energy in was terrific, and there was a lot of good football as well.
“It’s very disappointing not to get the three points.”
Richard Peniket spurned arguably Town’s best chance of the night when he chose to cross rather than shoot six yards out.
“It looked a tap-in from where I was,” said Harvey, “but this has been the way for a period of time now that we haven’t been able to take the chances that have come our way.
“That’s very disappointing. It’s very difficult to correct.
“The effort is there, the commitment is there, the football - but to win the game you need to score and that’s four games now without a goal.
“We’ve had a few injuries and we’re down to the bare bones on the bench but you wouldn’t recognise that from the performance, which was excellent.
“I couldn’t ask anymore from the boys and I don’t think they could give me anymore apart from scoring a goal.”
Harvey retains a belief that The Shaymen can stay up, and says he would like to extend his tenure as manager beyond the end of the season.
“If we play like that I’m sure we can get the results we need to stay up,” he said.
“I’d love the opportunity to take this club forward next year and the way these boys are playing and the effort they’re putting in, they deserve it.
“The crowd were excellent tonight as well. They supported the boys all the way through, and that’s terrific, that’s such a help for us.
“The effort and the commitment’s there.
“For a team struggling at the bottom you’d normally find the spirit has gone a bit, the morale’s low, but it’s not the case here.
“They’re fighting and giving everything so if they continue like that I believe they’ve got a great chance of getting six points which would keep them safe in my mind.”