Unless you know how small a 0.7cu.ft sealed box is, I doubt space constraints would trump your list of worries about it. That's roughly the size of a small microwave.
There's two things you need to know about the "lows". One is extension and the other is output. Slapping coaxials at the door will help you with output on the regions above the crossover (let's say your typical 80hz upwards) but it won't help you with extension.
I'd still recommend going for a subwoofer. Even a small sealed one will work wonders in giving you a low-end bass. Habol mo lang dyan is more of extension over anything else (as a bonus, one 8" is like two 6.5" in output). Something like an 8" Infinity subwoofer on a sealed box should cost you less than 7,000php and should go down according to how much the installer charges you for the box.
The reason why I'm not a fan of the iBus is that it's helluvah expensive item for the performance you're getting.





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