Unfortunately a lot of the advice above may not fit (except for clean biking clothes - that's a definite!)

I had a friend who had no sense of smell. She stunk constantly. Biggest reason is that most of us go through a pretty long trial and error period of trying deoderants that work and don't work until you find 'the one' that works best for you. Since you don't have that bio feedback ability your deoderant may be failing you beyond just your commute. If you have a trusted friend get a bunch of different types, try each exclusively for a week or so, buildup a good sweat for a few hours and ask them how good it works.

The wipes and everything work but not if that baselayer isn't really clean to begin with. A lot of deoderants will leave a very hard film to get off (which is why they're antiperspirants too - waterproof). I actually use a crystal deoderant. Lasts for 6 months, doesn't have any chemicals in there and kills bacteria. Will not control sweating but it's much, much easier to be clean after a shower without scraping your underarms. Also trim/shave the pits - the hair is very hard to get completely clean. Because you don't have the bio feedback mechanism you can't tell what's clean so make your job easier.

Rubbing alcohol will kill bacteria. I will carry some hand sanitizer, rub it under the arms and maybe chest to help cool off, give it a few minutes to dry then apply the crystal. Kill the bacteria then add more.

Also I would explain to your boss that you don't have a sense of smell and please let you know so you can do something about it.

Good luck!