Goldberg turned in two singles wins, while Rapp/Wild won a pair of doubles matches.
Smith reached ITA All-Americans round of 16; Hovenier turned in his first-career win.
The UO newcomer posted a 7-6(4), 6-3 win over Fernando Fonseca of Cal Poly in Sunday's final.
The UO sophomore was 5-2 with three ranked wins in Tulsa.
Bruins Hahn, Hovenier, Pereira, Tsolakyan and Wild will compete across six draws, beginning Friday.
The UO sophomore posted a 6-3, 6-3 win over No. 58 Bradley Frye of USC.