I would encourage you to keep praying even if you don't believe. I don't think it's hypocritical. If you draw close to God He will draw close to you. Psalm 145:18.
I grew up a Christian, and then I had a year of doubt, where I considered myself an atheist. I only had a hangup about one frequently cited question, but it was enough for me to lose faith. I didn't really know that much about the faith. I had read bits and pieces of the bible, particularly psalms and proverbs, and pieces of the new testament, but I called myself a Christian. I decided that I would try to live a righteous lifestyle despite having no faith, and pray the Lord's Prayer once every night just in case I came back to the faith later on in life. I think your reason for praying is much more sincere than mine was. I would pray the Lord's Prayer once every night and nothing else. Then one night, while I was developing schizophrenia, I started seeing red eyes while I was trying to sleep, so I prayed for deliverance from demons. I wasn't even sure I believed in God, I had more faith in the red eyes I was seeing than God. Then that night as I fell asleep I had a dream during sleep paralysis where I think God showed me visuals that correlate to the Bible and talked a little bit, and this dream restored my faith for a long time. In the dream he also told me to forgive my mom and ask for forgiveness, and it's something I still struggle with a decade later. I'm ashamed that I didn't do a better job of doing what was asked of me concerning my mom, but I didn't. Sometimes I even doubt if God really talked to me in this dream, but it sustained me and brought me back to the faith to the point where I actually read the whole bible a couple of years ago.
