Gib...
We've never played this song....but here's my quick Redskins-Dallas post game thoughts just by picking up my guitar and goofin' with what I *think* is that progression.
I'd start with something like this for the basic part:
e---(6)----------------------------------------
B--- 6 --- 9 --- 11 -----------------------------
G--- 8 --- 8 --- 10 ----------------------------
D--- 8 --- 6 ---- 8 -----------------------------
A--- 6 -----------------------------------------
E--------- 8 --- 10 ----------------------------
Well, since those second two chord forms work out so well, I'd just continue dropping it like this:
e---(6)------------------------------------------------------
B--- 6 --- 9 ---- 11 ---- 8 ---- 4 ---- 6 ---- 3 ---- 4----- 4--
G--- 8 --- 8 ---- 10 ---- 7 ---- 3 ---- 5 ---- 3 ---- 3 ---- 5 ---
D--- 8 --- 6 ----- 8 ---- 5 ---- 5 ---- 3 ---- 3 ---- 1 ---- 6---
A--- 6 ------------------------ 3 ---------- 1 ----------- 6-----
E--------- 8 ---- 10 ---- 7 ---------- 5------------ 3---- 4-----
Not that I'd finally play it with those inversions, but you should get the idea of how I hear the motion and the use of that repetitive chord dropping.
It's basic, but see if this works for you and spice it up as needed.
I think you're in a hurry and using that first Cm7 caused you to miss the forest for the trees that you would have normally spotted immediately.

HTH