With my Sunspot, which is only about 6 inches "taller" than a teardrop inside, I used a tilting patio umbrella that provided alcove-style cover by the side door, and a
Tailgator awning over the back galley (but it could have just as easily sheltered the side door.)
The Tailgator fits over the lift gate of my Jeep Patriot, as well as over the galley hood of my new-to-me teardrop. I haven't attached it on the side of the tear, yet, but I'm sure it will fit. The nice thing is that you can adjust the angle of the ceiling - so even someone 6 ft. tall can exit the teardrop standing up. And putting it up is a five-minute, one-person job. It's also only 7 or 8 lbs - way easier to manage and haul than even an inexpensive ez-up style canopy.
Other choices for side and rear cover include things like
Kelty's Carport. I have the medium version, which is smaller and more suited to working off a door. It didn't attach well to my Sunspot due to that door's sharp edges, but it will work very well off the side door of my teardrop.
I plan to have either a milk crate (drainable) or a plastic bin into which I can drop wet footwear. And if it's drippin wet, I hang wet outerwear under the umbrella/door awning overnight. I always have at least two raincoats - one heavier, one lighter-duty - and alternate the dry one inside and wet one outside so I can minimize the amount of wet stuff I bring into the camper. BTW - that works just as well for 40' RVs as it does for teardrops.
Hope that helps.