Yes, the Ibanez SA series is way underrated.
You want a normal tremolo but not Floyd Rose type, then its the SA series for ya because the SA series is the only series of guitars in Ibanez's wide arsenal that has a light synchronized tremolo. Mine's a gio model, GSA60, but it stays in tune very well and I almost never have to retune it. Not only that, the SA series is very versatile. It can play blues all the way to modern metal, as I've discovered with mine.
Fenders can never play A7x, certainly not. They're more soft-rock or blues oriented, owing to the usual alder body and S-S-S config. Gibsons... Maybe la, but if you're willing to stay still because of the guitar's weight. But both are certainly way way out of your budget. BC Richs are also way out of your budget. The cheapest I saw was around the same price as an Ibanez standard range RG.
For that budget, you can only get a gio if you wanna head towards Ibanez, but you might be able to find some gems in other brands like Vantage or Greg Bennett (no, not Samick, Greg Bennett) that should last you awhile until you can buy a standard range Ibanez.