I hunted for 26 years with a Remington 700 in .308 (same as your 30.06 at the distance you are shooting)and used 180grnRemington Core-Lokts...Never lost a deer and the blood trails (the very few times I had to follow them) were very good...By cheap ammo are you using the full metal jacket bullets? because they won't expand which wouldn't give you a blood trail.

I had the same problem when I used Federal Fusion ammo in my .270wsm...Lost 2 deer due to poor expansion andNo blood trails...I switched toFederalpower point bullets and now thedeer just drop.