Proud of his side's achievements despite missing out on a final-day promotion, Heath has told his men to enjoy another big challenge in their record-breaking season.
The Villagers led the Conference North for a large part of what has been an incredible first season in the sixth tier of English football.
However, they now face a nervy play-off campaign if their dreams are to become a reality.
AFC Telford's 3-0 home victory over Gainsborough secured the title and promotion at the weekend, with Ferriby's 1-1 draw at home to Brackley Town enough to earn second place and a play-off tie against a Guiseley side who they are yet to take a point from this season.
"We have nothing to feel down about because we gave it our best shot. We just ran out of steam in the end," Heath told the Mail.
"We fell short, but our remit at the start of the season was to stay in the league.
"We thought if we had a good season we would finish mid-table, so we have gone way ahead of that.
"We stick together now and whatever comes in the play-offs, we'll enjoy it.
"It was exciting on Saturday, but we were relying on other people to do the job for us.
"Now we have to go out and get the job done ourselves.
"I said to the players after the game that we knew it was going to be a long shot and a big ask for us to rely on Telford not winning, especially at their place. They were in the driving seat and we knew that, but I told the players beforehand I was proud of them regardless of how the day unfolded.
"It was important for us to get something out of the game, because we didn't want to drop to fourth and now we have home advantage if we get to the final."
As reward for finishing second, Ferriby will host the play-off final at the Eon Visual Media Stadium should they navigate their way past Guiseley in a two-legged contest, which sees the Villagers away on Wednesday before hosting the return fixture on Saturday.
Defeat to Guiseley in the league on March 22 ended an eight-game unbeaten run and started a frantic period that returned just three wins in eight matches.
Paying the price for their FA Cup and FA Vase success, the run coincided with an increasing injury list and Heath admits the club's limited playing resources has been a factor in their form dropping off and the title slipping away.
"Physically, the injuries have caught up on us and we haven't been able to change the team and rest people," added Heath.
"The amount of time we have had our kids on the bench this season is unbelievable.
"Our form for the last month isn't great and in the last 15 minutes on Saturday we were hanging on, but that's just the physical side where we are struggling.
"Guiseley have played a lot of games too of late and in the play-offs it is a war of attrition.
"Can we muster two big performances to get to the final? That's now the challenge for us."