Overall, he's hitting .323 this spring, with a .382 on-base percentage in his first 31 at-bats.
Black envisions Hudson hitting behind leadoff hitter Will Venable and No. 2 hitter Jason Bartlett -- who can handle the bat, and will be asked to bunt and move runners over.
"I think with him there, we have a lot of different options," Black said. "It puts two guys at the top of the order who I think are going to be productive on the basepaths. We can do some things with those guys, like hit-and-run."
Hudson, who has spent most of his Major League career hitting second in the lineup, has extensive experience hitting third.
Hudson has 860 career at-bats in that spot, and has fared better -- .294 batting average and a .360 on-base percentage -- in the three-hole than his overall career line (.280 average and .346 on-base percentage).
"It's a little different [than hitting second], but you've just got to get your mindset right," Hudson said on Sunday. "In the two-hole, you've got to get guys over, hit-and-run, and even bunt a bit.
"Either way, no matter where you hit, you've still got to have quality at-bats."
Of course, the Padres got plenty of those from the player Hudson will be replacing in that spot -- All-Star first baseman Adrian Gonzalez, who was traded to the Red Sox in the offseason.
Gonzalez accounted for 27 of the 31 home runs and 88 of the 108 RBIs the Padres got out of the No. 3 spot in the lineup a year ago.
"I did it in Arizona and almost the whole time I was in Los Angeles," said Hudson, who got all of his at-bats with the Twins last season hitting second. "I just want to contribute wherever the manager puts me."