I had a solo hiking tent that I carried for a while, but in practice I didn't set it up if it was wet, because I am a side sleeper, and when I slept on my side in that tent in the rain, my knees would press into the tent wall and this made it leak, so if it was wet I just rented a motel room. Sleeping on my side also allowed mosquitoes to bite whatever part of my body was touching the tent wall, and something always touched, so I didn't use it if there were bugs. When there were no bugs and it was dry, why bother with a tent? Just sleep on the ground - there's more room and it's less work. The pack size was small, but still way too large for something I didn't use. I eventually gave it away to someone who hiked and was a back sleeper. The experience of owning this tent has made me cautious of bivies.
But even as a proponent of larger tents, bringing my bike into my tent with me is way, way, way down on my list of things to do. Some people are so paranoid they can't sleep if their bike is outdoors, but I don't get that worked up about it.