When I play handicap games, a lot of times I like to play the two-space high approach against the 4-4, like such:
$$Bc
$$-------------------------------------
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . X . . . . . , . . . . . X . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . b . . |
$$| . . . , . . . . . X . . . . . , . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . W . c . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . 1 . . |
$$| . . . X . . . . . , . . . . . X . . . |
$$| . . . . . . . . . . . . . a . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$-------------------------------------
- Click Here To Show Diagram Code
[go]$$Bc
$$-------------------------------------
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . X . . . . . , . . . . . X . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . b . . |
$$| . . . , . . . . . X . . . . . , . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . W . c . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . 1 . . |
$$| . . . X . . . . . , . . . . . X . . . |
$$| . . . . . . . . . . . . . a . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$| . . . . . . . . . . . . . . . . . . . |
$$-------------------------------------[/go]
I realize that, in comparison to the standard approach against the 4-4, this approach is lighter. However, after Black plays a move such as

, which is common, I find myself with the strange task of trying to making good use of the move that I just played. To me the move I played already feels out of place and sometimes I try to mess the situation up by playing a move like 'a'. Usually though I just take tenuki and play elsewhere, but a lot of times I find the stone just doesn't work for me and it irks me that I let Black play a cash move like

in exchange for a move I don't know how to use.
I feel that trying to make an extension along the side with a move like 'b' is incorrect, since B can slide and suck the base away with 'c' anyways. To be honest, I think the only reason I even play this approach move is because a lot of times I've noticed the opponent react slightly perplexed to it, as if it's a move they haven't seen much of before (which I suppose is also why I enjoy playing hamete, or unusual openings). That and because I've seen it in a lot of high-level handicap games...don't copy moves you don't understand, they said.
So I'd like to ask:
1. What is the follow-up to this move if Black responds with

, and how does it make the approach move meaningful?
2. Is

even the strongest response to the high approach?
3. Why is this move typically seen in handicap games, but not in even games? <- Highest priority question.