No, I realize that there should be space above the top tube. I used to ride a conversion that stood 32" from the top tube to the ground (old track we had around) that I rode for a couple of years. I just learned to adapt to it and I could ride it really well. If I can just above the top tube, even if it barely touches, it'll be god-send.
I take it from iBaloney that he is also in the same situation only resolved

I think I'm going to paint the frame right before I start my semester to disguise the brand. I'm well aware that people know what bike this is if they saw it haha.