Yes, if logic is important, which it seems you truly believe, would logic not be important in all questions? Or do miracles get a pass on logic?
Here's the argument you're struggling to flesh out. You've tried several tactics to show belief in miracles as irrational. None have stuck. Have you gotten bored yet? Or shall we keep dancing?
I'll help you. Philosophy is the pursuit of truth. Logic--in perhaps its simplest explanation--is the pursuit of truth statements, or said another way, a judgment of claims. A logical argument is constructed as a list of premises that support a conclusion. These often follow one or more first principles--things that can't be proven, but are either accepted or not accepted as necessary truths.
So, the problem you and I will have are that we will by definition not agree on first principles. These are the things we're willing to take on faith to support arguments that come from them.
The law of non-contradiction is an agree first principle in Western culture. Something can't both be and not be simultaneously, and in the same context. Logical arguments can flow from that.
Is there a God? Well, you and I won't agree on that, so we'll be unable to fully judge arguments until we do. That doesn't make the the following statements illogical or irrational. It just means I won;t be able to prove my beliefs. You won;t be able to disprove my beliefs.
Now, my belief in miracles. If I believe in a creative, personal, relational, all-powerful God, then of course I can logically believe in miracles. It flows naturally from the belief. IT would be illogical to say that they are impossible.
And until you disprove the existence of that Being, it's illogical for you to claim that they are impossible. That's why I can proudly proclaim a belief in miracles without having to worry about this line of discussion.