Folks lets stop calling things "awkward" without a proper justification. I would say 1/10 "awkward" answers are just pure awkward with no justification to follow.
Even as they never forgave the Crusaders who overran their homeland, the Syrians have never absolved the French for taking territory from them.
(A) Even as they never forgave
"forgave" and "absolved" are in the same tense.
"they" is the subject of the first clause, "Syrians" is the subject of the second clause. Hence "they"="Syrians". No pronoun ambiguity whatsoever.
This sentence is correct. Despite the slightly awkward "Even" starting the sentence. Its not my preference but it is correct.
(B) While they never forgave
The "While" in this sentence is trying to setup a contrasting idea but it fails at setting a two contrasting ideas/concepts etc. EX. "While running on a treadmill can burn X calories/hour, running outside can burn Y calories/hour". "While boxing is a sport renown for developing an athletes endurance, gymnastics is known for employing an athletes agility." -While X is known for developing, Y is known for employing. The sentence just has to be parallel.
In this sentence we are using a "while" but not really contrasting anything.
"While they [[the Syrians]] never forgave the Crusaders, they never absolved BLAH BLAH BLAH." Those are the same concepts, we are not really contrasting anything here folks.
(C) Just like they never forgave
We only use "like" to compare nouns! Period. "As" to compare clauses.
Like [[They never forgave]], [[the Syrians]]. Were not comparing two nouns here. The sentence is attempting to compare a clause with a noun. This is a no no!
(D) Similarly to not forgiving
(E) In spite of their never forgiving
D) and E) are both wrong because of verb tense. The usage of "forgiving" in the first clause does not match the main verb in the second clause "absolved".
D) Makes an illogical comparison. "Similary to not forgiving.., the Syrians.."
Hope this clears this question up. Please no more silly called out answers, were you just blurt out an answer even if its wrong.