That is not long enough. I propose 71 days, ~March to May, starting two weeks after FA begins.
1st round: 1 pick per day (32 days)
2nd round: 2 picks per day (16 days)
3rd round: 4 picks per day (8 days)
4th round: 4 picks per day (8 days)
5th round: 8 picks per day (4 days)
6th round: 16 picks per day (2 days)
7th round: 32 picks per day (1 day)
1 week later: Undrafted free agency begins.
Pick limits do not apply to comp picks, so if there's 2 third round comp picks between 4 regular picks, there'd be 6 picks that day.
I also have another bad idea for an inverted draft (7th round to 1st round) with say white elephant gifting rules, but once a draft selection is stolen 3x in a row, another pick has to be made before selection stealing can begin again. That should limit it to about a week. Top overall draft picks would bubble their way up from 7th rounder to 1st rounder, while the rest settle towards the bottom.