On the women's side, in the women's team bracket, 3 NESCAC teams (Wesleyan-CT, Tufts and Williams) get in, Emory and Wash U get Pool B selections and Denison (NCAC) and Sewanee (SAA) get in as Pool C selections.
Have yet to find a "D3 Women's Tennis Team's longest draught between D3 NCAA Tournament Appearances, but what I did find in a different related area was quite interesting.
On the women's side, Williams, out of the NESCAC, has taken 8 NCAA Team Titles between 2008 and 2019. On the men's side, generally, the NESCAC has still taken its' share of titles, but that share, (5) was divided--Amherst with 2, Williams, Bowdoin and Middlebury with 1 each. Emory has taken 2 of the last 3 men's team tennis titles.