first off,you dont need a dog thats the canine equivalent of mike tyson to stop a roe,which, living where you do will probably be the deer you'll be running.
secondly,in my experience,most well bred lurchers,if entered correctly ,will tackle them no problem.over the years i've owned collie,bull,deerhound and saluki lurchers all took deer,some where just better at it than others.for the day job,my choice would be saluki cross.your almost guaranteed the speed and the stamina to see the job through to the finish where other crosses will usually fade after a few fields persuit.all will take them