So... you don't know what switches you like yet and you want to jump straight to the endgame of "gaming mechanical keyboards"?
I don't thank that's an impossible scenario, but it's highly unlikely. I'd suggest getting a board for around $100 to $120 with most of the features you want and MX Browns. Then you'll get a good feel for what type of switch you'd prefer.
In terms of feel:
Less tactility / more linear (if the bump irritates you) = Reds / Blacks.
More tactility = Clears / ErgoClears / Tactile Greys (they also have an earlier start to the tactile bump).
More "click" = Blues / Greens.
In terms of spring weights:
Same weight = Reds / Blues.
Just a touch heavier = Korean 62g springs -> ErgoClears.
Heavier = Blacks.
Much heavier = Greens / Tactile Greys / Linear Greys.
So I'd suggest a Ducky Shine 3 or 4 with Browns or the WASD Code with Clears. They all come in full size. Then take some time with it to figure out if the switches suit you or not and what you'd prefer in terms of both switch type and spring weights. It took me a while to figure out my favourite mechanical switch for gaming and typing (they've ended up being the same for me, but for some people they're different from each other). Also if there's some other characteristic of the switch you'd like to be different, that can be achieved through mods (such as adding orings, trampoline mod, switch stickers, latex mod, lubing, etc).
Another factor that I found made a big difference is going to TKL (or smaller, but TKL is the best "space gained" / "functions lost" ratio). It makes a big difference to be able to move the mouse and movement hands closer together and positioned more symmetrically. Also allows the centre of your typing position to be closer to the centre of your display, so you're not twisted more towards the left when typing. Good ergonomics. So, unless you really NEED a numpad, I'd suggest trying a TKL.