DNA Matches

Need some advice, I had my DNA through AncestryDNA, since then I have accumulated a serious list of Extremely HIGH, Very HIGH and HIGH, and GOOD and Moderate. My problem whenever I contact the DNA MEMBER(S), I get a negative response or none at all, even when our trees reveal common ancestors. My tree is PUBLIC, which is easily accessible. I have notice several have their tree listed as private, or listed NO TREE in their DNA MATCH results, but, not all are PRIVATE, so I am able to access their tree and review it. Question? Is there another DNA testing entity that facilitate easier confirmation
of relation so that I or other can connect the dots, before our expiration date? I am
75 and I would love to get my tree to a respectable level. In particular my father's
lineage. What I have discovered is that we are practically related with the majority of
the founders and Aguascalientes, Aguascalientes surname. My father is another matter.
Thank you in advance. Arturo de Leon Garcia