The height of the vid card is the problem with the Slim or HTPC cases.
Like this is a very good case, but the vid card is too high. If you can deal w/o the vid card, and just use the CPU grfx part, or use a low profile card....
https://www.newegg.com/Product/Product.aspx?Item=N82E16811163179It would help to know what you intend to do with the computer, like how much grfx power will you need.
The Logisys case's power supply will not drive your vid card, and your vid card is too tall for it. Same problems with the Apex case.
This case, that I linked above will hold your build as it is now, and has ...handles. Should fit nicely, on the floor between the back seat and the front seat.
https://www.newegg.com/Product/Product.aspx?Item=9SIA0ZX57D0944