I keep replying, but it got deleted or wont post...
I can compare my autosomal DNA to Native people, and ask about their family. Because I may have autosomal matches, they are more likely to be the most recent relation. I already know where one relative lived, which narrows her tribe to two reservations in the the area-- she was Ojibwe.
Having known my maternal haplogroup, I was able to research MtDNA haplogroups in Native tribes, then correlate that with potential geographical locations along with family history (Miq'maq or Algonquin). Still awaiting some full results, which will confirm my research that has also narrowed the possibilities.
Last night, I discovered some famous Native ancestors on my famther's side (big surprise!) Because they lived so long ago (over 200 years), a direct autosomal match may not be possible. Because the direct line ends with a female, I can not use Y or X chromosome testing to trace it to myself. If I wanted to PROVE ancestry to this line, I would need to rely on a paper trail, but luckily I already know the reservation.
My testing was done through FTDNA, so I do not know if you have the same resources available, as far as targeted genetic comparisons.
The way you wish to discover your ancestry and why seems to be the key in your case. DNA should be sufficient for curiosities' sake, but you will need reliable documentation if you are trying to legally prove ancestry.