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Yo, to start things off, great taste in music man. I think you should look into guitars with humbuckers in it. ibanez and fender both have guitars equipped with humbuckers (ibanez rg, s, sz, etc..., Fender HSS, HH, SH) Ibanez usally have mahogany bodies wich is a more mellow sounding wood. Fender guitars have alder bodies which is a more balanced sounding wood than mahogany. Personally, for your choice in music I would go for an Ibanez, only cause most of them come equipped with the Edge tremolo and the HSH pickup combos. On the other hand if you want an awesome guitar that can handle anything, and can fork out the cash, see the Paul Reed Smith 513.
Source(s):
Guitarist Six Years: Gibson Lp Std, Fender HSS, Jaguar HH, PRS 513.