I grew up in a family broken by addiction. I don't know what substance or thing you're struggling with, but I can tell you that if it's something like methamphetamine, even being homeless is preferable to being an addict, because you can recover.
Addictions have a way of slowly destroying your life and removing the things you love. Right now you're worried about your family losing the capital you provide them, but eventually if you continue down the path of addiction, your family will lose you entirely. And trust me losing a family member to addiction hurts much more for everyone than having a month or two of lost pay. It's a hurt that goes down through the generations. My daughter is essentially without a grandpa because of this.
There is support out there. You're worried primarily about paying the bills, right? How long would it take to get over the withdrawal symptoms? Two weeks? A month? You only need enough money to cover that. A local church may give you money to help you. You could start a go fund me. You could save up enough by budgeting. You could ask for support from extended family. You could ignore the capital needs and let the bills go past due for a month (pay only rent).
The longer you stay under the yoke of addiction, the harder getting out of it will become. To get out, you need to resolve yourself and want to get clean. At the end of the day, nobody can do that but you.