I have similar problems. On the toilet I can pass only part of the gas. When the stool is too liquid gas will escape upward. At home I can lay down and roll on my back feet up, that's the easiest way to pass gas for me.
Simethicone has not been a big help.
When I'm on antibiotics there is hardly any gas and my digestion is pleasently calm.
Moving around is also helpful to reduce gas, but at office that's difficult. And being stressed from office work is also promoting gas in my experience. So I've got no other advice than having a break regularly for relaxing and getting some motion.
Luckily I'm doing home office.
When there is pressure building up in my bowel, from gas or not going to toilet in time, that's a big driver for inflammation.