I have the same Ammo cases as you, but I do not use MTM exclusively. I have Plano model 1211 which I like better. It has a hinged lid and slopes down a little in the front so that even if the case is down and unloaded, it is a little easier to get out. If you do not get your OAL too long a Franklin 504 works real well. A 180 XTP bullet in the first crimp works real well for example. The second crimp groove is a little too tall for them. They were designed for the 22 Hornet and 221 Fireball. They are still nose down, but they stick above the lower part of the box, so it is easy to get them out, even after firing them.
Good Luck and Good Shooting