I hope you don't mind me answering your post without having read others' responses, as I want to give you my own opinions about it.
First and foremost,
if you are questioning your gender, chances are you're trans. Cis people are usually happy with the gender they are born, so the fact that you are questioning is proof enough that you are transgender.
Don't worry about going through a "hyper-assigned gender at birth phase," many of us did so while trying to figure ourselves out. It is often an attempt to override the feelings or "wrongness" we as transgender people feel. We want to fit in to Society/family/friends/work, so we go the other way, often because it's easy, or to please family, or to fit in at work, or a million other reasons. (I'm pretty darn sure that "ugly" feeling is part of your dysphoria. I'm not a therapist, so I can't say.)
Not everyone that is trans decides to do change their name, undergo surgery, HRT or even transition Socially. Some people simply transition to their immediate circle, and keep everything else the same. Others may undergo HRT, some or all GRS, or transition socially. And some people transition partially or fully and then decide it's not for them. The choice as to what's best for you is up to you. Everyone's path is different.
It's good that you have taken a year off of school to figure yourself out. I'd recommend that during that time, you find a gender therapist to help you sort through these feelings. I also suggest contacting your local LGBT+ center to see if there is a transgender support group that you can join. Hearing other people's stories does a lot to alleviate your feelings of aloneness, not to mention give you the chance to vent about yourself and talk about the highs and lows of what you're going through. It's rough being trans, and it's a good feeling to know that there are others out there that understand.
I might be in the minority, but whenever I'm misgendered/misnamed, I correct the person. Even family is not free from my correcting them should they use the wrong name or pronoun. To me, it's disrespectful, not to mention that me correcting them might sting them for a few moments, but it often stays with me for weeks or even months. I'm willing to have them feel a bit of a sting from my correction in order to allay my dysphoria for months on end.
Before I went on T and my voice deepened, I used to say "I'm a man, I simply have a high voice" whenever I spoke. Many cis men have higher voices, something that people often forget.
Questioning "whether or not transitioning is best for you" is normal. Many of us do it, especially since it's often easier to "go along with what Society expects of me." That's fine, but
do what's best for you. Only you know what you need to do, if anything.
Never forget,
there is NO SUCH THING as "not trans enough." Its simply something that narrowminded, bigoted people thought up to try and invalidate transpeople. We have been around, (and called many different terms depending on the country) for as long as there's been humans on this planet, so to try and change that is never going to happen.
And for you wanting to wear skirts and have a beard or a deep voice, I say "go for it!" Not everyone wants to or needs to "fit in gender roles" as deemed by Society. Personally, I think that gender roles are stupid as well, so having a beard, deep voice and breasts while wearing a dress will only have me asking "what pronouns do you prefer?"
Not everyone judges someone's appearance. Some of us simply accept someone as human.
Feel free to ask any and all questions about transitioning, vent about something bad that happened, rave about something good that happened, or anything else. We here at Susan's Place are each other's shoulder to cry on, friends that can give pats on the back when things go right, or simply tell you that you're not alone.
Welcome to the forum and congrats on your journey of self-exploration!

Ryuichi