Looking for cases with 10+ 3.5 hdd bays

So I have this current setup as a slave system and I need suggestions for cases with more than 10 3.5 hdd bays would like 15+
Fractal Design R3
6x 2tb Hitachi Sata drives in raid 5
4x 136gb Sas 10000rpm drives in raid 5
2x LSI 8708EM2


But I have run out of space on my 2tb raid, and want to expand, originally i got the smaller chassis as i thought i would be leaving it in someones care for a time, but that is no longer a need. Hoping to go to 12-16 2tb drives Would also like at least one 5.25 bay but not needed, and willing to do some minor mods.

I was trying to move all my drives into a S3016E External shelf and run that off a LSI 9260DE-8i, but it is not working for my configuration. and I don't want to fight with a disk shelf if something odd happens to to system itself.

TLDR; I need suggestions for a case that has more than 10+ hdds and will fit a mATX motherboard with three Full higth expansion slots. and under $100 preferably.

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You can check out some of these cases
https://pcpartpicker.com/parts/case/#J=10,20

But it seems most are above your budget.

https://pcpartpicker.com/parts/case/#J=10,20&X=0,12000

Not all of them are actually