Thanks so far for your replies,
I have to admit that Iīm a little confused because of the different suggestions.
( I first eyed the Abraxas and hoped that you strengthened my point of view). But now the suggestions went in several other directions

e.g.: On looking at the tone chart of the HolyDiver I can see that there are little more mids than trebles....
I put a Dimarzio PAF 36th. anniversary in one of my HSS-Strats (Dimarzios tone chart said that there were a little more mids than trebles.... the same as here!) and found out that I canīt stand this nasal, Tele-like tone !!
I know that Dimarzio ist something complete different than BK (and the PRS is complete different than Strat), but I donīt want something which has so many "nasal" mids....
(hope you understand what Iīm trying to say !) :D
And it shouldntīt sound like the Seymour Duncan SH 4, please !!
(Iīve had this in another HSS- Strat, and itīs not my cup of tea !)
The PRS Tremonti is (like somebody said before) very Les Paulish, it has a thick mahagony body whith Maple Top and glued-in neck.
But it has the "PRS scale" and a Trem, which probably makes the tone a little brighter than the "classic" Les Paul guitar.
I wouldnīt say that the "natural sound" of this axe is too bright (as many prs-guitars are said to be) or too dark, I think that the sound is mostly equailzed.
So I thougt to look for something that hasnīt bigger resonant peaks in the tone chart.
( Abraxas has equal mids and trebles, less bass for example).
I think that Iīll change the neck humbucker, too.
So it should fit with the bridge- postion for nice clean sounds in parallel- running.