Ah I see the dilemma. I guess even if you were getting a lift with your friend and her parents to take you, that doesn't mean you necessarily have to go into the same church if the other churches are within walking distance and have services that start/finish around the same time. But I can see how it might be difficult to approach that subject with your friend and her parents.
It can be difficult if a church you are attending is preaching on some subjects in a way that makes you feel uncomfortable. I guess it's up to you to decide whether the bits you do like/agree with are worth staying for? Like I said, I'm Roman Catholic but that doesn't mean I agree with everything or even most of the things my denomination teaches. I stick with it though because for me personally, it is the denomination that resonates the most and makes the most sense to me! And the bits I do like override all the bits I don't like.
It's nice that your church emphasis tangible experiences of God but I wonder whether that is subconsciously putting undue pressure on you to feel God at all times? For those of us who have experienced God and His love for us in a tangible way, it is a very powerful experience... but (maybe I'm just talking to/about myself here!) it can make the times we
don't feel God's presence/love for us difficult and sometimes even unbearable, and that can make it hard to keep having/practising out our faith. But if we can ride out the times of (what Catholics term) desolation, that can really strengthen and solidify our faith, and make it far more richer than it would have been otherwise. It can be very tough though. I haven't felt God for several years now and I do find that rather painful and lonely
Your analogy makes perfect sense - completely get what you're saying. Is there a particular reason you're angry with God? I wonder whether it would help to do some reading about/from people who have felt anger towards God, or had a rough time with their faith?
My university chaplain, when I told her how I don't feel God anymore and how my faith feels quite bleak, recommended an author called Barbara Brown Taylor:
https://www.amazon.co.uk/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=Barbara+Taylor+Brown . I can't remember which exact book my chaplain recommended but Brown Taylor talks a lot about what she calls "lunar spirituality" or finding God in darkness. Wondering if that might help you a bit. I haven't read Brown Taylor's books yet though, so can't recommmend first-hand but my uni chaplain recommended it to me, and I trust her judgment