That was easy. 

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That bullet is a staple of the Musket Class in the North-South Skirmish Association.  You might try checking in on the N-SSA website for help.  Also, S&S Arms in New York is a brig supplier of stuff for skirmishers, along with several other commercial vendors.
I personally shoot the lighter weight “Hodgdon style” bullet in my Zouave or I’d give you some of mine.
Froggie

I shoot round balls in my Parker Hale Enfield too.   They shoot great, but usually I go with the minie as it is more traditional.

George

Before you spend money on bullets or mold, measure your bore precisely. Whichever Minie design you choose, you want to be no more than .001" under bore diameter.  Next determining factor is twist rate. Of the various designs in use in the N-SSA, most shooters sue some variation of either the 460 grain Minie (slower twist) or the 505 grain Minie. (faster twist) 
Good place to start. for accuracy, experiment with 45-55 grains 3F, Swiss or Old Eynesford  is worth the extra money if you can find it. Tons of info on the N-SSA.org site

I shot with the NSSA back in the 70’s and 80’s.  Used the common Zouave repro.

I was one of the better shots on our team and used a 300 gr wad cutter dropped from a Lee mold.  If I recall, the load was 50 gr (volume) of 2F what ever powder was available (and cheap).  Pushing a well gooded (lubed) mini down the barrel every shot seemed to control fouling.

I think I was buying pure lead then for $0.30 a lb.  The wad cutter saved on lead and shot very well.  If I recall, my Zouave cost me $75.00, new.  Everything was done on a budget!

The challenge with the rifles were gettting the sights set up and tinkering with the locks for a decent trigger pull.

Still have the Zouave!

Mike.

PM me your mailing address. I'll send you a care package.
Curt