My 248 seems to kick into the power band at about 2900. (I don't know how accurate my tach is.) I imagine the 270 is probably close to that. Unless I'm running 65-70 I have to kick it in passing gear for some of the hills around here. The 270 and being in a pickup instead of a Suburban may do better.
Don't let it worry you. Go with the overdrive. It's the only way to fly.