SSD trays are your friend
https://www.amazon.com/Corsair-Dual-Mounting-Bracket-CSSD-BRKT2/dp/B016498CK0
https://www.amazon.com/ORICO-Adapter-Mounting-Bracket-Interface/dp/B01LZWX6PD
https://www.amazon.com/General-Drive-HDD-Adapter-CADDY/dp/B00F3QFKNS
Buy any 2.5" ssd and install it in any number of 2.5 to 3.5 trays available.
EDIT: And yes, your sata connection will work fine.