calling @tkoparent whose son is a T&F athlete!
Generally, if an admitted student did not go through recruiting, they should email the coach in their sport and inquire about possibility of walking-on. Some teams may have room, others not.
Club hockey is pretty serious at Denison, rugby and ultimate frisbee both travel to compete, seem to have a lot of fun.
There’s also IM (intramural) sports – rec league competition open to all students, kids put together teams and compete against other Denison teams for about 8 -10 week seasons – there are both co-ed and single sex leagues/teams. There are limits to how many Varsity athletes can compete on a single IM team in their own sport.