So far you're doing everything right but depending on how big it is, you may need to go to the ER & have it lanced, you more than likely have an infection. The doctor should write a prescription of Doxycycline, clindamycin topical gel & hibiclens. Ask for a referral for a good dermatologist. I had Wide Excision surgery two days ago, I get them in the same spots you mentioned. I hope you feel better soon!

Have you heard anything about a product called My Magic Healer it’s sells on Amazon and is supposed to help with pain from HS also helps draw out and drain what’s inflamed.

Sometimes surgery is the best and only way to get relief. I had a skin graph, the worst part was the wound vac machine I had to carry everywhere after surgery.

I’ve had the chance to use it I would say it does work to an extent. For me it works on more mild symptoms like if it’s small and painful I’ll put some on and it’ll a take a couple days for it to come to head and drain. But when it’s really bad for me which is 9 times out of 10 it tends to be less effective.

Hot baths and Vaseline or Vicks on my flares helps my pain become tolerable enough for me to get around and do some of my daily housework. As a lifelong housekeeper, my house being cluttered and dirty from pet hair and daily life is super stressful, so it helps me mentally to be able to accomplish at least one or two things on my to do list.
Also, I started thinking of my energy as a video game stamina/health bar; ie: No matter how much you 'heal' with meds and stuff, if your 'stamina' is low, you won't fully regain your HP. Take the breaks you need to maintain your 'stamina' and go into 'rest mode' if you need to, cause it helps your overall HP/Stamina gauge stay in the 'green zone'.
Hope this makes some sense and you find some relief.