If I understand the moves mechanics correctly, a poke can only relearn a move (egg move or otherwise) that is in its move list, and not of its pre-evolution's. Thus, Hitmon-whatever cannot relearn Helping Hand as it is a Tyrogue only move. Just tested this out with a Hitmonchan that I got in a trade with no egg moves whatsoever, so it should be correct.We have stated in the best before the last one that it is not possible. Helping Hand can only be relearned by the evolutions when it is in the initial movepool of Tyrogue. The Tyrogue that was born with two egg moves, thus without Helping Hand, cannot relearn it anymore once it evolves, no matter whether it had it when it had evolved. Only Tyrogues with only one egg move, the ones who still have Helping Hand in their initial movepool, can remember it post-evolution.
We still need one thing to test: 'Initial movepool' may refer to the movepool the mon is caught with. We won't get access to the games until evening, so we would be grateful if somebody can catch a Tygorue, replace its moves, evolve it and see if it still remember its initial moves: Tackle, Helping Hand, Fake Out and Foresight.
Otherwise we will do it tonight.
In conclusion, to get your Helping Hand Hitmontop, you have to do what DHR-107 said. I.e. breed Tyrogue with whatever egg moves you want, bring it to move relearner, relearn Helping Hand THEN only you evolve it.