Any book load for up to the .30-06 class case head size will work fine using normal, safe loading procedures and load work up, but I try to use those powders that provide good velocity with less pressure compared to other powders. That's where using data that includes pressures is handy for a Handi!! Handi frame flex is the issue, the hotter loads tend to be hard on brass, you'll start getting stuck brass usually long before you get the usual pressure signs, at least that's been my experience with numerous calibers in the Handi when working up loads.
Tim