To the OP question, if you are comfortable with 300 yards with your -06, the 243 is not going to do anything that I can think of to extend that range. It may be a little flatter shooting but you are giving up a fair amount of energy and the flatter trajectory is negligible inside 300 yards.
Your comfort level is your comfort level and only practice and experience will increase it.


I am continually astounded at how quickly people make up their minds on little evidence or none at all.
Jack O'Connor