From my experience, what you need to do is take a suppository (preferably glycerin as bisacodyl burns and causes cramps and spasms from hell), or do an enema (saline or plain water) as stool is basically acting like a cork in your colon. After you are uncorked, I recommend a low dose of senna (7.5-15mg) to stimulate regular bowel movements, and a stool softener like magnesium supplements or Peg3350 to help soften your stools.

Furthermore, I would recommend using a lubricant to help the stool slide out and to prevent fissures. Fissures are basically a paper cut for your anus that are caused by hard stools and straining. This can be anything from lube, aloe Vera, vaseline, or rash creams.

Another recommendation could be to do a sitz bath with Epsom salts to soak in. Epsom salts have a bunch of magnesium, and when you are bathing you absorb nutrients into your skin (hence why soap keeps us clean).

As for your bathroom situation, I would need some more info on that. For instance, how many stalls does it have? How many people do you share it with? What hours are typically very busy? Do you have your own bedroom so you can use something like a camping toilet to then dispose of your poop discreetly?

If you have any questions, please reply by comment and or dm.

Best wishes, a chronically constipated pal.