Noah,

once you have flown a Katana, you will not like the visibility in a
Piper (or Mooney, or Beech, for that matter). In fact, you'll hate it.
Little comes close. A Tobago/Trinidad does. Why don't you try the DA-40
at San Carlos for a little more space?

Also, the "slipping doesn't work well" will come with most less-draggy
airframes out there.

--
Thomas Borchert (EDDH)