Hi Vineeto,
Well not exactly – feeling good (as in “calm, contented, delighted, happy in a quiet non-exuberant way”) is also a hedonic feeling and behavior, since hedonic just means related to hedonic tone, and feeling good does have a pleasant hedonic tone (as opposed to an unpleasant one).
That being said I agree that “anhedonistic” resembles “anhedonic” too much so I agree it is not a good term 
. One could just say “not hedonistically” which would already be better.
Mmmm this doesn’t make the distinction I’m wanting to draw though. Cause all emotions and feelings are affective. So if one is following hedonistic pursuits, one will be feeling those hedonistic feelings affectively too, i.e. they will be affective hedonistic feelings
However I see that there already is a way to describe hedonistic pleasure in actualist lingo… it’s nothing other than the ‘good’ feelings! i.e. the desirous ones in this particular case.
And enough has already written on distinguishing between ‘good’ feelings and feeling good… so indeed no new term is needed to be coined here 
Cheers,
Claudiu