You could probably maintain water quality with changes but you'll never be able to stop doing them. Is there no way to put a sump under the tank? That would allow you to place a large skimmer (I'd do a large one with the pump in the body, to save space, like a nac6), house some macro and nearly double your water volume
Most long term successes in nps comes from building a system capable of processing the excess nutrients largely on its own. I have a 4" sand bed, 100+ lbs of rock, a 900 gph skimmer, 30g sump filled with macro and another 4" of sand and liverock in it. I still have to do 25% water changes every 10 days to keep my nitrates at 5. I honestly don't believe a single 10g tank could sustain more than a small colony of suns or dendros, long term. The other problem is that both can reproduce very rapidly. I add about 30 new ones to my tank every month that way
If you're determined to try it, keep several things in mind. Start very small, a couple heads. After 3 days, check No3 daily until it starts to rise. Do that after 3 or 4 water changes and you should have a stable schedule. Get a good cleanup crew to help remove the good your corals miss. Probably most importantly, have a fallback plan in case the maintenance wears your interest down. Most are easy to rehome so don't let them go downhill before moving them. Sorry to be primarily negative about your idea, just being honest concerning the hardship. Good luck and let us know how it goes, if you move forward with the project!