First, speaking with your priest, as others have said, is definitely a good plan.
I know you don’t want to start up the debate, but this is how I generally think we should think about areas where we tend to disagree with the Church. For example, after all the thinking I’ve been able to do, my reason leads to the conclusion that the death penalty should be allowed and used in cases of the most extreme crimes even in countries like the U.S. where life imprisonment is fairly easy and safe. But it appears that nearly all the bishops and the pope disagree with me. This is the same basic approach that I use for myself here (although this disagreement is of a different sort than yours, and for those reading who support the death penalty, I am well aware that Catholics aren’t actually required to think it’s a bad idea, but there’s enough agreement among the bishops that for my own purposes I’ve decided to treat it as though I am, if not as though others are).
Something to think about: If you don’t believe in papal infallibility, then you either see evidence which leads you to believe that it is false, or don’t see evidence that leads you to believe it’s true. In either case, it’s your own reason - possibly based on revelation, but still your reason - that leads you to this conclusion.
But presumably, you do believe that the Holy Spirit guides the Church as a whole - that is, that the Catholic Church was instituted by God and led by God to teach what should be taught.
Now, certainly we should follow our reason as a general rule. But we must also admit that human reason is fallible, and that in areas where there is rampant disagreement among intelligent people, from an objective standpoint there is no particular reason why our reasoning should, because it is ours, be any better than anyone else’s. Again, normally, this statement doesn’t mean much because there is also no particular reason why anyone else’s arguments should be, by virtue of being their arguments, more likely to be true than ours.
But in this case, it’s not us versus other reasonably intelligent people. It’s us versus the Church, which, as Catholics, we believe does have better reason to be right than we do.
So what do we do? We cannot shelve our reason. We can only spend so much time investigating a given issue. There comes a point when we need to stop arguing about it and move on. But move on how?
The solution, I think, is to simply recognize that the chances of us being right about everything we think up is nearly zero, and to intellectually admit that our disagreement is simply one of those things. I’m not saying to shelve your arguments entirely, but don’t dwell on them either. If something comes up referencing the issue, examine it, compare it to the arguments you’ve made, see if anything changes, then put the issue back away until further notice.
In conversations with others, feel free to examine the topic, but approach it from the direction not of proving your point, but of seeing how disproving the Church fails - which is the same exact argument logically, since part of proving your point is attempting to break your argument as well in order to see if it holds true.
Basically, we should follow the teaching externally, and also follow it internally at least to the extent of recognizing that our own reason is not superior to the Church.
(This, I think, is a combination of the “don’t worry about it too much” and the “Argh! Heresy!” (yes I’m simplifying, the poster did say more, that was a joke) responses you’ve seen, both of which have their true points. In short: don’t worry about it too much, but admit that you’re probably wrong even if you don’t completely discard the reasons why you think you’re right in so doing.)
Your reason may still tell you that you’re right. You’re gut may still tell you that you’re right. If you are right, then God will reward you for the difficult task of obedience in heaven. If you’re wrong, then God will reward you for the even more difficult task of obedience in heaven.
In the mean time and in all senses but the one mentioned above - don’t worry about it. Worry about other things instead, there’s enough to go around.