valad, if your 444 is older there is ia good chance it is a microgroove barrel, twisted 1/38 (the newer 444s are Ballard rifled 1/20).

You can load pretty much any of the .429-.430" dia pistol bullets. As far as cast bullets go, some say they are not so good in a microgroove, others say they work ok, so you will probably have to experiment and see what works.

If you do have a 1/38 twist, the max bullet weight you will likely have good accuracy with will be in the 270-300 gr range. If you have a Ballard 1/20, there are cast offerings up to 400gr that can be used.

If you look up Beartooth Bullets you will find a lot of cast options and forum info.