Canterbury never enjoyed another significant partnership, with Brownlie's 41 the top score. De Grandhomme finished as the pick of the bowlers with figures of 3-53.
The hosts will resume today through Rob Nicol (37no) and Todd Astle (21no), with Auckland itching for three quick wickets and a solid effort with the bat.
Elsewhere, weather was the decisive factor in the day's other two games, with rain in Nelson and Wellington forcing abridged innings and early finishes.
Otago and Wellington have the most to gain in this round and either side could seize the competition lead if Canterbury are unable to win, but both teams' bowling attacks were blunted in their brief time in the middle.
After Derek de Boorder won the toss and second-placed Otago elected to bowl at Saxton Oval, just 32 overs of play were possible as one early delay was followed by a more consistent downpour.
Otago started brightly, with James McMillan bowling Jamie How for five in the third over, but Central Districts eventually reached stumps on 93-1.
Conditions weren't much better at Karori Park, where Wellington sent in Northern Districts and reduced the visitors to 169-2 at the close.
After Brad Wilson was bowled by Mark Gillespie for 14, Daniel Flynn made a breezy 70 from 82 balls before being caught behind off James Franklin. Joe Carter (47no) and Daryl Mitchell (20no) were at the crease.