|"will there be a driver conflict?"|
AMD/ATI cards work with NVIDIA & Intel based boards, NVIDIA cards work with AMD/ATI & Intel based boards. No driver conflicts in any of the combinations.
"i currently have an evga 448 core classified ultra"
Do you mean this: EVGA GeForce GTX 560 Ti? The HD 7770 would be a downgrade. In fact, all the cards you mentioned would be downgrades. What is the reason for doing this?