I must vote for the 7mm-08. I think it is a very effective and versatile round with minimal recoil. IMO the .243 is a little light for large deer. With perfect shot placement and given the perfect rib to rib shot it is plenty of gun but if only presented with a quartering shoulder shot as your best oportunity I prefere more gun to ensure a passthrough.
Also it comes in short action rifles that are generally lighter and handier. Any one of the three will do the job, can't really make a mistake here.