The order that you have the drives connected has no bearing on the boot order. Look elsewhere in the BIOS screens for the page where you can set the boot order. On modern motherboards you select the generic term "hard drive" then elsewhere you select WHICH hard drive.
I assume you will need to supply SATA controller drivers at the beginning of the installation but I don't use Linux so I can't say for sure.
There is a link in response #3 to the SATA controller drivers. When you first start to install you may see a screen telling you to press a key if third party drivers are required. You need to press that key and supply the drivers. Possibly on a floppy disk or possibly on a flash drive or external USB. That depends on your BIOS.
You can avoid all that by using the ATA hard drive as the boot drive. No additional drivers should be required then.