I agree with the benefit of bib shorts for large guys, as they're essentially suspenders. And I'll admit to wearing them under other shorts as well. It's not the shorts as much as the self-conscious feeling the padding gives. Good on you for not letting it bother you, though.
I do need to start looking for fun jerseys, as I've mostly been using inexpensive moisture-wicking workout shirts in hi-viz yellow from Walmart.