Tweeter + 10" system design (cheap)

For cosmetic/space reasons my new arcade machine will have 2 tweeters aiming at the ears from 600mm away, and either a single 10" or maybe 2x 8" woofers at waist height (beneath the control panel). The Audio is from a PC 3.5mm (green) audio jack.

On price and form factor I picked out these drivers:

https://cpc.farnell.com/peerless-by...-tweeter-25mm-neo-6-ohm/dp/LS05090?st=tweeter

https://cpc.farnell.com/mcm-audio-select/55-3232/speaker-poly-cone-10-100w-rms/dp/LS04695?st=10

And I was hoping to simply use a 2.1 amplifier eg Lepy168s. However 2.1 amps where info is available are aimed at subwoofers (duh!) and cross at subwoofer frequencies 120hz +/-

Whereas I think I want to crossover around 2khz. I've been looking for cheap crossovers fixed or adjustable but I'm struggling.

Am I missing something here? Do I just need a low pass filter for the woofer and nothing for the tweeter or something?

After the crossover I would have 2 separate amplifiers (cased products) each with volume control.

The audio standard I'm aiming for isn't perfection, just similar or better than a pair of decent 6" coaxial car speakers (eg £40).

Thanks for any tips or ideas

(I didn't put this in Multi-Way subforum because it's a bit low-rent)

PS. Mono is very acceptable, so a single crossover is all I need really.
 
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Am I missing something here? Do I just need a low pass filter for the woofer and nothing for the tweeter or something?
The tweeter needs a highpass crossover to cut the low frequencies out or they will explode. Woofers often run lowpass crossovers for sonic reasons, but are sometimes run without if they happen to match up to the tweeter + highpass.

But your concept is flawed-a tweeter up high will just spit treble at the player; a woofer down low will sing into their thighs. Assuming your layout is somewhat like a pinball machine, can you get something bigger up top? Like a 4" or even 3" fullrange, then you can use the 2+1 kind of amp.
 
Thanks. I have moved on to just what you said, a more more standard 2.1 system.

The plan may be flawed once again because I'm going to try putting all the drivers on the rear !

I was going to ask for opinions about that but I don't suppose many speaker builders have tried it, so I will just get on and build a prototype and see what it sounds like.