Bible says we can see the Kingdom of God before we taste death... what can be higher than this? Maybe you think this means we can teleport somewhere before we die and see the Kingdom?
The first thing to recognise is the distinction between the order of bliss of which you speak, which is natural to all created nature and rests in the fulness of its own being, and the order of bliss spoken of in the Christian tradition, which exceeds the natural state by an infinite degree.
Natural bliss, as you indicate, can be aspired to, worked towards, attained and sustained, by dilligent practice and watchfulness. It is proper to all created nature — it is, in effect, the realisation of its own perfection within the domain in which it finds itself: To be all that one can be.
Supernatural bliss, which is a vision of the Kingdom of God, or Beatific Vision as referred to by the tradition, transcends the person and transcends created nature, thus it cannot be achieved by any effort of will, any discipline or practice. Rather it lies within the free and gratuitous gift of God, a grace to dispense as He so chooses.
It is, in the end, participation in the life of God, so obviously this can only occur by invitation. Man can and should 'repent' towards that end, but no amount of repentence, indeed no amount of love, can oblige or require or in any other way necessitate a response of God's part.
Scripture states this explicitly, although perhaps the meaning is not immediately understood:
"We see now through a glass in a dark manner; but then face to face. Now I know in part; but then I shall know even as I am known." 1 Corinthians 13:12
"Dearly beloved, we are now the sons of God; and it hath not yet appeared what we shall be. We know, that, when he shall appear, we shall be like to him: because we shall see him as he is." 1 John 3:2
Both of these point to the provisional and contingent manner of human experience, even the experience of bliss.
The fulness of bliss, in the Christian sense, is Christocentric and Trinitarian, the doctrine called theosis, the divinisation of the person by incorporation into the Divine Life of the Holy Trinity. Furthermore this process will not and cannot be complete whilst one sheep remains outside the fold, as it were. How can my bliss be complete, when my brother dwells in darkness?
Thus another aspect of this is the communion of persons; that a truly Christian bliss is communal and collective — not individual, and goes infinitely beyond the limitations of human nature.
Lastly, the emphasis modernity currently places on the personal and the experiential, the quest for all manner of interior phenomena, is utterly at odds with the tradition (as it is, I believe, with the Hebrew tradition, as well as the Sufi and the Buddhist, amongst others).