Those of us who are suffering from things in our bodies or our minds and emotions, remember that (as you suspect), Jesus paid for each one of our healings and deliverances 2,000 years ago. What He did enabled us (and everyone else) to receive what we need from Him.
We need to learn how to receive it. Think of it as your inheritance as a son of God. As hard as it is to believe, God allowed us all to have certain experiences in this life that made us who we are. He did this so He would have the glory of your testimony telling others how He set you free.
When you came out of the world (Egypt), He separated you to Himself. He's calling you to your inheritance (Canaan land). You've been baptized, you've crossed the waters of Jordan (baptism) and you're waiting on instructions how to enter in and move into your Jericho. It's all in the Word of God. As we align ourselves with the plan of God, He increases His blessing and our experiential "knowledge of God". Our grace and peace will be multiplied and we'll increase in the inner man. Of course you've had some of your inheritance (the Holy Spirit, the earnest of our inheritance), but there is more for you in God than just being "saved".
We need to find out what is ours, and then learn how to receive it. If God were "next door" visiting the church next door and was going to grant you a request (if you're a believer) if you can find evidence of it (for believers) in the Bible, wouldn't you be gleaning promises from the Bible as fast as you could?
Well He's not only next door, He's here right now! He'll still grant your requests for what He's already promised the believer, but we must learn how to mix faith with the promise, so we can profit from it.
It's important to lay hold on some anointed teaching of the Word of God so we can learn what is ours and how to enter in to it.
It's also important to turn aside from things that we embrace that give us a measure of worldly "consolation". The things we resort to, because God doesn't seem to be moving for me. It's not really a rejection of God, but it's something else that seems to pacify our passivity and unbelief. Each person knows what that might be. If you'll trade that in for time investigating what God's plan for you is, and what He's given you as His child, then you'll be on your way out of the graveclothes you might have been wearing and making preparations to obtain your long awaited inheritance.
Picture that someone died, and left you an inheritance. You'd want to know what that was, right? If you've got physical problems, or mental issues, look into what God's Word says about healing, or the soul, and see if your need is covered. Then commit to finding out what it takes to lay hold on this.
Ask God to lead you to some teaching that will help put you on the path to wellness. Believe that He will! Be willing to step out of the graveclothes that we all somehow find ourselves in from time to time and into a future full of hope and an expected end.