I'm replacing a nearly 20 year old Goodman 75000 BTU running on LP. Choices are down to:

Amana AMVC95 or Lennox G61V (2 stage, 70000 BTU) at cost = 1
Lennox G71V (modulating, 70000 BTU) at cost = 1.2
Carrier 58UVB (2 stage, 60000 BTU) at cost = 1.33

I've read various threads here that have not provided clarity on 2 stage vs. modulating so I'm taking another crack at that. Is modulating worth the premium? Will the Carrier really provide a third more value over the competitors noted?