Suggestions:
Kent Armstrong have a fantastic rep for low cost high quality pickups
http://www.wdmusicproducts.com/Merchant2/merchant.mv?Screen=CTGY&Store_Code=WMPI&Category_Code=PUHMBCKR
..although their "SKY" series is ..variable in quality.
Seymour Duncan combination (i think) JB Neck and 59 PAF Bridge - almost everyone i hear from who does up cheap LP copies seems to use those.
http://www.seymourduncan.com/cgi-bin/tonewizard.pl?Instrument=Guitar&Type=Les+Paul+or+similar&Music=Rock+Classic&BodyWood=Mahogany&Fretboard=Rosewood&BridgeType=Locking+Trem
These should work well for clean and high gain applications..as the S series has mahogany bodies
you should get a "Les Paulish" sound, hopefully.
Good Luck.
Accuracy,you say? hmm interesting concept..