Right - if you are playing key of A, the bottom 4 strings of 6th you speak of for the A chord are

E
A
F#
A

But what are you then putting in on the B string? You really want the C# but it does not fall to hand.

And the E on the top string is right for the A chord.

It looks as if you are talking about the A chord and teh D chord at the same time.

Can you please state the actual notes or fret positions of the A chord (the one I use with the partial capo is 042255) and teh D chord (I've never found a good one) and the E chord (022400)?

And can you also please stop denigrating chord players by referring to them as "bashers or strummers"? The use of a different technique from yours does not make us inferior.