The correct option is B even if
Here, 'even if' as a Subordinating Conjunction is the correct answer as it implies despite the fact or belief that; no matter whether. Here, 'no matter whatever', I wouldn't ask for your help.
'Since' is used with the present perfect or past perfect tense to implyfrom a time in the past until a later past time, or until now.
'Despite' is used to show that something happened or is true although something else might have happened to prevent it.
'Although' is incorrect as it is used for introducing a statement that makes the main statement in a sentence seem surprising.