Subwoofer enclosure integrated into the desk?

Hello everyone! I recently made a pair of small nearfield speakers using a modified Ciare PA065 fullrange driver. I love how they sound, but they can hit about 70/80Hz in my room, under that there isn't anything and the cone moves a lot. With certain songs it's completely fine but some others make me wish I had a subwoofer. I have some spare speakers I can use to make a "bass reinforcement" sub for this application, none of them is particularly worth of notice but they all should work ok. I want to spend as little money as possible for this project.

I can either use a 5" Faital 2+2ohm woofer I ripped from a Fiat subwoofer or a 8" BESTONE 4 ohm woofer. The latter one seems particulary well built with a very big magnet but I haven't measured its parameters yet. Both were in ported enclosures, but while I highly doubt the Faital will be able to produce any bass in a sealed box, the Bestone should be able to move some air. I measured the Faital even though I don't have the parameters on hand and that is also pretty decent.

I would prefer to use the smaller Faital woofer which will require a bass reflex enclosure, but if BR can't be used in this placement I can use the other speaker. I can EQ the system as much as I want to because I will only use it with my PC. I don't have any TSP now but eventually I will measure them later.

The crossover point will probably be around 100/150Hz because I don't want to spend any money on a dedicated amplifier with LPF/HPF so I'll just rip the board out some 2.1 PC system.

I want to place the subwoofer either like this:
or like this:
IMG_20221026_191733911.jpg
the dimensions are (all in centimeters)
a=34
b=100
c=10
d=10
e=15

If I want to use the 8" I will have to mount it with the magnet outside.
Do you think this can work?
 

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