I am sorry to learn of this situation. I assume that when you filed you chose to do so without an attorney.
Your course of action, and set of presumptions regarding how secured debts will be discharged in a Chapter 7 "liquidation" chapter are inconsistent with bankruptcy law.
If you file for a Chapter 7, it is sometimes possible to "reaffirm" a debt, where you enter into a formal agreement with the creditor to continue paying on the loan and waive the discharge that you would have received for that loan. (An example, would be if you had a car that had a loan on it, and you needed a vehicle, you would "reaffirm" the car loan so that you could keep the vehicle after bankruptcy).
However, in your case, you want to both keep the secured asset (your home) and discharge the loan (the HELOC). This does not work, you either pay the loan, or lose the asset (the asset is sold by the trustee and the proceeds are used to pay your creditors).
It is possible to work out a payment plan under Chapt. 13 a "restructure" chapter, and I would strongly encourage you to pay a local bankruptcy attorney to try to help you unwind the current position that you have placed yourself in. This is going to require some procedurally adept work from your bankruptcy attorney and I don't recommend trying this on your own.
If you are in a "no negotiation" budget, this may not be possible, but you should at least explore it. Your other option is that the HELOC is going to go into default and they will then have the option of foreclosing on your home.