On the rear I had the 2.3 DHR II TR EXO for “summer” and it was fine but I’m using a 2.3 DHR II TR EXO 3C since October and the 3C is streets ahead in the muddy slop and a fair bit lighter too. It clears mud extremely well considering it’s not designed for mud and just grips everything better than the standard TR and seems to be just as fast rolling.
I’d change to a Magic Mary TC SS to match the front if I needed more grip on the rear although that’ll only fit on the rear of one of my bikes so I’m stuck with the DHR II 2.3 max width on the other.
I seem to prefer Schwalbe TSC on the front and Maxxis TR or 3C on the rear.
I think the DHF and HR II are both heavier than the DHR II if weight is important but the DHR II’s have been very reliable for me.