I assume the drain is unclogged now? I def understand the concerns about the poison gas, but as long as you don't mix stuff then it's okay.
The products I'd suggest, would be scrubbing bubbles mega shower foamer and some Melamine sponges (same thing as magic erasers) to tackle this job. I would also highly suggest picking up a pack of gloves too, so your hands don't get dried out or dirty!
Scrubbing bubbles $4.88 USD : https://www.amazon.com/Scrubbing-Disinfecting-Multi-Surface-Bathroom-Rainshower/dp/B00GM5UH32/
Melamine sponges $14.39 USD (for 50) https://www.amazon.com/Trendbox-Cleaning-Melamine-Multi-Functional-Bathroom/dp/B07WNNR4JB/
Gloves $6.37 USD https://www.amazon.com/Mr-Clean-Reusable-Latex-Gloves/dp/B072B5K5KB/