I know the area pretty well, mostly from fishing but some hunting too. The farther into the Lost Park area you can get the better. If you are lucky by hunting season all the day hikers and dog walkers will have cleared out and left the area.
I have went in on the south side which is mostly private and I have hiked in from the Ben Tyler trail on the north side. Both directions can be good but it is a better elk area than it is a deer area IMHO.
Just curious why the "land owner" who applied for the vouchers hadn't given you some really good intel ?