Cross naming conventions

i was looking to capture one specific clone only pheno as a (somewhat) inbred line. The consensus seems to be that you should

  • [ cross 1 ] cross quality genetic line you have regs of to the clone (baseline breeding stock)
  • [ cross 2 ]pick a male of those seeds to cross back to the original clone (backcross - bx1)
  • [ cross 3,4,5] evaluate multiple males from the breeding stock to find one that represents the clone most closely (f1, f2, f3)

are my naming conventions correct? by the time i get to cross 3. is there added value by back crossing more times early on before looking for that keeper male?