This is a good question and you have good reason to ask it… because Christianity is ultimately about relationship. The promise of our Gospel is that we receive God’s real presence by the Holy Spirit inside: He is the deposit in our hearts that guarantees we are God’s children and that we have hope for Life after death (2 Cor 1:22). And that same Spirit brings his peace, his joy, his love…(Gal 5:22) …the “relationship feelings” you talk about.

However, as you’ve experienced, we don’t always FEEL his presence and power. The same is true in any relationship. We don’t FEEL loved by our spouses sometimes even though we may always be loved by them. That’s because feelings are fickle and easily pushed around by circumstances. So we can’t rely on them. Therefore, there may be a delay between faith and the feelings faith ought to produce.

Think of a train. The engine is the fact of God’s eternal work in Christ recorded in Scripture. Your faith is like the cars attached to that engine because of the evidence in “the Bible which tells me so”. But feelings are like the caboose that is attached to your faith. Like a long train, sometimes the caboose follows WAY behind the engine. But If you expect the caboose drive the train, you won’t get very far!

Having said that, there are things that you can do to build this relationship that will enhance the love and intimacy you feel with God. Just like your relationship with a spouse or child, you won’t FEEL their love if you don’t spend time with them. So time is key. And you wouldn’t FEEL the good thots they have about you if they didn’t express those thoughts and if you weren’t listening when they did. So knowledge is also key. You must spend time with him to FEEL his love. And you must listen to his words to FEEL how he FEELS about you.

Here’s what I suggest: Block out alone time. Take a CD of worship music; music you love; music that moves your heart; music that expresses God’s heart to you, or a heart longing for God. Then sit alone in a chair in a quiet place, and listen to the words. Mull them over… hit repeat. Let your heart be moved by music. Music can be a window into experiencing the Divine. It’s one of the things that no creature but humans can appreciate; it’s part of God’s image in us, and it’s why worship services always have had music in them…. (Ps 9:2)

Secondly, I think you maybe need to read some specific passages of Scripture that focus on God’s feelings about you. The Bible is not a cold fact book about God – it is His LOVE LETTER to us! If God is trying to romance you but you read his letters as if they’re about someone else, you’ll miss out on the relationship he wants through the words. Just knowing what the Bible says is not an end in itself. The Bible is a means to an end: the end of restored relationship.

So pick specific passages and pray a simple prayer: “God reveal your heart for me in your Word: (Ps 119:18). Then read them and re-read them (that’s one way to meditate). Insert your own name into the pronouns. Try this with two specific passages: Romans 8:15-39; Isaiah 43:1-13.

As a logical thinker, you may need more time and space than the average person to really “hear” the Lover behind the Bible “that tells you so.” But if you mull these words over in your mind… in a spirit of expectancy and humility, I don’t think it’s possible to remain cool or aloof towards God, or to think he remains cool or aloof towards you. Words like Hosea 11:8 “How can I give you up , Ephraim? How can I hand you over, Israel? …My heart is changed within me; all my compassion is aroused.” Let your heart engage with these words.

However, as a logical thinker, you can still get that “relational feeling” THROUGH the pathway of your mind. Here’s another idea: Study areas that excite your brain. If you love to study cosmology, or if you get excited about biology or contemplating creation, or analyzing sticky questions, use that to access awe. When I use my mind to understand God’s incredible care and complexity in his creation designs, I feel awe and wonder… and that’s a pathway that connects me to my heart and God’s Father heart for me.

I’m reading a book right now called “The Reason for God.” by Tim Keller… and some “Feelers” out there would consider it hopelessly “brainy” and no help to feel God’s father heart towards them, but not me. I often connect with my heart THROUGH my brain. Don’t think that’s somehow “illegal”. Many Christians connect with God along intellectual pathways. Maybe you just can’t just dive into a poem and be moved to tears. If that’s you, you’re not defective. Jesus said, "love the Lord your God with all your mind..." Your less intuitive, less emotional side can still be a pathway to love God and feel loved from him.