Well, you can run a bass line with it, so that you are distracted from the fact that you are on the same chord for a long time. Example from a familiar shouting pattern:
Key Eb LH/RH
Eb / Db-G-C-Eb
C /
Db /
D /
Eb / Db-Gb-Bb
F / C-F-Ab
Gb / Bb-Eb-Bb
G / Ab-C-F
Ab / Gb-Bb-C-Eb
F /
Gb /
G /
Ab /
G /
Ab /
A /
Bb / G-Bb-Eb
A /
Bb /
Cb /
C / E-Ab-Bb-Eb
Bb /
Ab /
G /
F / A-C-Eb-Gb
G /
Ab /
A /
Bb / Ab-C-Eb
C /
Db /
D /
(repeat)