If you are simply comparing LP vs SG, keep in mind that the tones are a bit different. SG is not as bottom heavy as LP. It has a more open airy tone, with good nasal mids.
LP is also a lot heavier and unforgiving on your back for long gigs, especially if you are a skinny dude.
Personally, LP pretty much owns when it come to looks though.
Also, SGs tend to be neck heavy so make sure you are okay with the balance of the guitar before buying it. SGs are awesome when it comes to playability otherwise.
-- My current rig
Guitar: '98 MIJ Ibanez RG520 QS w EMG 81/60
Amp: Laney LC15R Tube, Fernandes 20W SS
Pedals: MI Audio Tube Zone Overdrive, Boss OD3, CS3, MT2, HM2, DS2, CE5, DD7, TU3, Beta Aivin DD2 Delay, Dunlop Crybaby 95Q, Stranger Vol Pedal, BBE SupaCharger
Others: Yamaha RBX 374 Bass, Yamaha MM-6 Synth, M-Audio Fast Track, Shure SM-57, Heet Sound E-Bow Plus
Wanted(pm if selling): EB VPJr/Boss FV500L,Ibanez w Original/Lo-Pro Edge