As a newly minted doctor, I prefer Dr. Drail because of the work I put in. I have seen three common name/title presentations though:
Dr. Drail
Dr. Drail, Ph.D.
Mr. Drail, Ph.D.
The last one obviously preserves a gendered title if desired. I tend to include my pronouns where applicable, as it makes clear my gender identity while allowing me to use the least cumbersome combo (Dr. Drail) without confusion. I haven’t ever met someone who double stacks their honorifics (ie Dr. Mr. Drail), but if you want to make clear your gender, there aren’t any rules against it, and it is common in some non-english speaking cultures.
Ultimately, it is your title, your honorific, so you get to decide how to present it. I prefer to just go by my name 90% of the time, but while applying for jobs or introducing myself in a profesional capacity, Dr. Drail (he/him/his) is a really easy way to get all the info across succinctly.
Lol, no, but I’d be damned if I put my actual name out on the internet. Dr. Drail is my profesional anonymous title.