As said above, it will depend on the twist rate of your barrel. If the Federal Match 69 gr. BTHPs are too heavy, then you should probably step down to Federal Premium 55 gr. BTHP or even Nosler ballistic tips.
That being said, I've found that my Rem 700VS will consistently group 1/2 MOA at 100 yards with some surplus South African 55 gr. FMJ I had lying around.
Play around with a few different rounds, and find the one your rifle likes best.