Would a "spray on" type deodorant work for you ? I can't imagine that would be too much issue to apply after the paint is on and you could always test it - it would be much less visible and "gentler" than a stick type.
Disclaimer : This post written by a Grumpy Old Man
Actually in the pipes:
- Remaking Ser Loras doublet.
- Luke Skywalker, A New Hope
- Wind Waker starter costume in swim material
Eventually: Paul from Dune, Faramir, Harry Sullivan