The greater advantage that 10-ply ‘E’s have over 8-ply ‘D’s is they run at a higher pressure which in turn reduces tire temperature under load. A lower operating tire temperature reduces the chance of tread separation/blowouts and increases the mileage life of the tire. This is why all HDs should consider running ‘E’s.
With your lift, you may be trying to go taller than the existing size. If you’re staying with the size in your sig, might I suggest a look at this data sheet. As this tire wears, the compounds and tread design change to continue performing as when new. Excellent roundness throughout the life of the tire, usually only requiring an ounce or so to balance. Excellent snow performance as well as smooth on road traction/ride, these tires refuse to hydroplane under any circumstances.
Bridgestone Dueler A/T Revo
If you’re going for the wide mudder look, then these are not for you. However, For performance in off road use, a tall narrow tire will always beat the wide fat tire, with less drag and they will unload the tread quicker, not to mention less on-road hydroplaning and better fuel mileage.
If you play in the sand, only then is a wide tire better.
Again, if you're going for the bigger tire looks, then never mind.

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2007 LBZ 3500 LT3 DRW Crew Cab, Sulastics, Putnam XDR 15K, B&W 30K-Turnover GN, Ride-Rite Air...

2006 Chev 6.0L/4L80e 3500WT DRW Ex-Cab, 9 'Flat/GN, Ride-Rite Air, Sulastics, Bilsteins, A/T Revos, TTT towing mirrors.
Use-ta Haves 2005-LLY 3500 LS DRW Crew Cab, 2002-LB7 3500 LS DRW Crew Cab
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I Live my life in such a way that when my feet hit the floor in the morning...Satan shudders & says "Oh shit, he's awake!"