I know Orthodoxy does not have the same idea of penance and having to do justice for temporal punishments but is it against Orthodoxy when doing a deed of of charity to "offer it up"? Or if you are not enjoying yourself and there's not way up to "offer it up"? Like a stranger just asked for money for gas because he is out of gas. I had $3 so gave it to him. I offered it up, I said to myself or God, for my sins. Not necessarily in the sense of temporal punishment, but as an act of charity which can perhaps be something for our case before the Eternal Judge? After all the real thing God looks at is the whole of our heart, not little deeds and laws we followed, but whether we loved. Did we show charity to the poor and those in need? Did we give to the Church form our hearts like the woman who gave all, not giving ten percent and boasting because we obeyed the law, but giving a couple dollars, even in hard times. God looks at that, not if we followed this or that law. So can we in that sense consciously offer up good deeds to remember ourselves the good we are bound to do and as a case for us against our bad ones?
I'm not sure what you mean by offering up good deeds "as a case for us against our bad ones", but in general what you seem to be describing is "sacrifice", and that is certainly an Orthodox concept. Everything we do is supposed to be sacrificial.