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The 1:10 .243 will stabilize several styles of 100 grain bullets. The flat base bullets generally stabilize better for a given weight than boat tails. 200 yds is “close” range for a .243 so even a marginally stabilized bullet will be fine. As I understand it, a slightly under-stabilized bullet can still shoot accurately. The issue becomes one of an under-stabilized bullet demonstrating lower than published drag coefficients.
To answer your question, there are many suitable deer bullets available for the .243 under 95 grains. If you go with a no lead bullet like a Barnes, you will likely want to go with even lower weights since stabilization is more related to bullet dimensions than weight. In a .243 Over expansion will probably be your biggest concern with bullet selection. Nosler partition, Hornady interlock, sierra gameking, nosler accubond might all fill the bill. I would also try the 80 gr TTSX Barnes for your ranges (at long ranges/lower velocities the Barnes' expansion can become unreliable).As a rule of thumb, at around 100 grains go with flat based bonded bullets, below 90 grains boat tail bonded should shoot fine. In factory ammunition most of the bullets below 80 grains are meant for varmints and will cause excessive meat damage.
You have picked a great rifle and caliber for deer hunting and good luck!
