You can stagger Hart with the bench. Ant already plays with the bench. People focus too much on Starting vs. Not Starting when at least half the game (if not more) consists of a mix of bench players and starters.
Not starting Ant will result in two paths:
Path 1: Keeping his minutes the same
1a. He subs in at the 6 minute mark of the 1st and 3rd and plays 18 minutes straight to end halves. He plays with the starters in the middle of the 1st/3rd, and ends halves with them. This changes nothing except guaranteeing that he'll be absolutely gassed at the end of every half.
1b. Subbing him in with 8-9 minutes left in the 1st/3rd and giving him a 3-4 minute break later in each half. This also accomplishes nothing and he still plays a similar amount with the starters and bench as he does now.
Path 2: Cut his minutes to bring him off the bench
- This is the only way to bring him off the bench and enact any meaningful change, but the only meaningful change it creates is it makes the team worse.
		
		
	 
You're making assumptions here that don't need to be the case.  
Portland could easily break each quarter into 3- four (4) minute segments.  It's fairly easy to keep everyone from playing more than 8-minute stretches.  
What I really like about this approach is that the team always has at least 2 starter quality players on the floor at all times.   
Q1.a -  Dame, Hart, Grant, Watford, Nurk
Q1.b -  Dame,  Ant, Sharpe, Grant, Eubanks
Q1.c -   Ant,  GP2, Hart, Watford, Nurk
Q2.a -  Ant,  GP2, Hart, Watford, Nurk
Q2.b -  Dame,  GP2, Sharpe, Grant, Eubanks
Q2.c -  Dame,  Ant,  Hart, Grant, Nurk
Q3.a -  Dame,  Hart, Grant, Watford, Nurk
Q3.b -  Dame,  Ant, Sharpe, Grant, Eubanks
Q3.c -  Ant,  GP2, Hart,  Watford, Nurk
Q4.a -  Ant,  GP2, Hart, Watford, Nurk
Q4.b -  Dame, GP2, Sharpe, Grant, Eubanks
Q4.c -  Dame,  Ant,  Hart, Hart, Grant, Nurk
This results in a 9-man rotation with approximate playing time broken down like this.  
32-minute players:  Dame, Ant, Hart, Grant, Nurk
24-minute players:  Watford, GP2 (or Winslow)
16-minute players:  Sharpe, Eubanks
PG:
Dame:  32 mins
Ant:  16 mins
SG:
Ant:  16 mins
Hart:  8 mins
GP2:  24 mins (this could be Winslow at the SF position instead - pushing Hart/Sharpe to the SG)
SF:
Hart:  24 mins
Sharpe:  16 mins
Grant: 8 mins
PF:
Grant:  24 mins
Watford: 24 mins
C:
Nurk: 32 mins
Eubanks:  16 mins