My life on an ADHD med, a mental health med, and 3 other meds for transgender stuff.
I am very lucky to have a backlog of estradiol, my main HRT drug, because I was purposely "playing under speed" for most of a year, otherwise all 5 drugs would be randomly running out at 5 different times throughout the month. Almost nothing gets assigned to 90-day fills for some stupid fucking reason.
So from personal experience you can often just ask docs for a longer prescription if something isn't particularly restricted (like stimulant-type ADHD medications).
From friends, I know that some therapists and endocrinologists are willing to give 6 mo or even 1 yr scripts of hormones, though some will only do so under certain conditions. You might want to find a different doc. I know one person who gets a 3 mo supply of estradiol from a telehealth provider.