I would offer the following advice about stealth camping in the Tetons (or any bear inhabited region):
(Sorry if comes off as pedantic, but in my line of work I meet many people who are novices to bear safety, so I am a bit paranoid.)
Don't cook near your tent.
Keep food and scented toiletries out of your tent.
In addition to bear spray, I would carry bear bangers. They are very loud and can help prevent overly close encounters if you fire them in the bear's direction when they are (thankfully) not in range of pepper spray.
If you find yourself alone on some windy mountain road, sing to yourself. Bears are really only a problem if you accidentally sneak up on them. Plus singing while you cycle at 2000 ft elevation does great things for the lungs.
All that said, I wouldn't worry too much about bears. It's mountain lions that'll really do a number on you . . .