I can see an energy shield being something similar to a process like GTAW. (Tig welding) where you are inducing plasma and directing around the hull of ship. Might not do much for travel as the energy costs would be a bit high, but it would burn the hell out of anything that it touches. This would be a defensive thing, I could also see there being a gravity shield if you could manipulate the way gravity goes around the ship you could simply reflect things that are physical by never having it get near your ship or simply orbiting. Which honestly could also work great if you have that much control over the gravitational properties around your ship you could theoretically use space debris as shields or even launch it at enemies.
Nanotechnology for self repairing could easily be done with the collection of resources. Heck I had a thought of the backwater people's ships being called dust burners as thats what they use to fuel the ships is the random dust and crap the intakes can scoop up as they're going through space.
I do wonder just what is out there, There might some new materials or constructs which were we don't know about. You might have a material with a crystal structure that is able to grow if feed the right energy or etc. I know crystals can grow pretty fast as the damn salt rock lamp I have has doubled in size and exploded the bulb inside of it.
It's just a growing giant chunk of salt right now. It made a good lamp, but I can't physically fit a bulb in there anymore.
So an alien race could easily go for it.
I speculate you might be able to simply go down the route of having the ship be designed like a freaking tank. As it oh yeah she'll get plastered, but the materials it is made out of is able to take the hit, and even through engineering or simple design philosophies be able to disperse out the force. This would be critical with the front design of the ship. This is how I imagine the backwater people doing it.
Or the creepier option. MAKE IT ORGANIC!
Self repairing? Check, designed to withstand quite a bit. Check? Making people question the implications of having a cancerous, lichen like growth on the hull of your ship? Priceless!