The average rut for North American whitetail deer lasts from 1-3 MONTHS, and usually occurs in Oct-Dec.
So, to be feasible, you need to build who knows how many enclosures, where you keep deer locked up for up to 3 months, where they must be fed, watered and their health monitored to ensure communicable diseases don't spread, at a time when many areas of the country are frequently hit by blizzards and below-freezing weather.
And then you have to expect horned-up bucks to just walk away from enclosures full of fertile females, rather than try to kill themselves trying to squeeze into those enclosures any way they could.
AND, a spike buck (a year-old male with very small horns) could easily get inside. Despite his young age, a spike buck can breed just as well as an old buck if given the chance. Fellows like this would be in heaven: 
Yeah, that will work 
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