No need to complicate things.
There is no holy grail of deer catching crosses. A decent quick ,lurcher will catch them if bred off decent parents.
A good dog for deer is the one that does it,get a size and stamp thats up to it off parents that 'used to do it' it can have collie ,bull ,saluki, deerhound etc etc etc.....get out there and educate the dog thats the biggy,adding a bit of this or that will fine tune what you have but start with parents doing.what you want