cheessee
In Yiddish, the word for "bribe" is "שחד" (shochad).
campaign, vacation
The 8-letter word that fits the pattern "e-alese" is "estimate," which means to roughly calculate or approximate a quantity or value.
A number of words might be considered the "opposite" of a Bribe. Perhaps Blackmail or Solicitation (of a bribe). See the thesaurus links below.
sop, payoff
ireland
sop
enticement inducement
Bribe
ambush, appeal, bribe, camouflage
The word you are looking for is "sap."
There are no perfect rhymes for the word bribery.