Both the BITX and the KNQ7 are mostly minimalist SSB transceivers.
I've built both. They are fun but you know what you'd like to do and
one is 20M and the other 40M.
I've found the KNQ7 to be better behaved. Neither run CW.
There are also the OHR, Elecraft and a few others.
Most QRP ops run CW... not.
Some run phone, others run PSK31.
Some don't run HF.