What specifically in metal you playing (doom,death,thrash,progressive, neoC?)as guitar can vary on that to suit your budget.
Do you change tunings often, in that case go without a floyd rose one.
ibanez has some fine wizard 2 necks etc but i think they would be outta your budget.
you wont get a fender in 20k, a fender baisc mexican strat would be arnd 35-40k and similar for fat strat or other and fender single coils wont do much for your tone as single coils are bit noisy on high gain side unless you upgrade to decent ones and those alone would cost you more than your guitar.
since you buget is 20k i would advise on getting semi decent guitar for around 15k that just feels right to you and sounds a bit good acoustically, (yeah i am talking electrics here but the unplugged sound of an elec gives a lot about it tonal respose from body and physics) and you cnan chip in come cash here or there and upgrade to decent pickups.
Ibanez S470 Bk W/ SEYMOUR DUNCAN SH4-JB/SH2-n/heavily modded
PRS SE Korina SingleCut
Givson Panther modded emg 81/85
Aria J Bass
Processor : Line 6 PODXT Live (fully loaded)
Stomps: SD Twin Tube Classic
Effects: Ts-404 Boutique & few other pedals (self built).
AMP TRS7000 Solidsate Power Amp 100W x2 Feeding 2x 12" Custom 8 Ohm Speakers Cabs.
Roland Cube 30.
Recording : Riffworks, Ableton Live,Reaper
Korg Microkontrol and Casio CTK500 for Midi