what do you consider small lot? 5 acre? 10 acre? 100 acre? etc..
with gun, yes deer can run but generall force of impact have them laying down fairly close,
with a bow which relies on bleeding the deer,
good shot can keep the deer close, but have greater chance of deer running longer distance,
also with a bow shot deer its more important to wait before tracking, 1-4 hrs depending on shot, as can easily push a deer further before it bleeds out,