Jeff, I'm afraid Dave and Sunil are right; for total elimination you are going to have to treat it as a renovation (drain & rotenone).
OTOH in 1.25 acres, I think you could remove LMB each year and manage them to avoid complete dominance, IF you were willing to restock the SMB. Smallmouth spawns in the presence of LMB have a pretty poor performance from all I've seen.