You'll love that rifle.
You'll get better responses to your question at
www.marlin-talk.com.
Lots of lever guys there with just your info.
I had one back in late '80s. It was a dandy little rifle, but I couldn't use it "legally" to hunt deer with (our law has now changed), so I traded it. (Won it in a pistol match)
For .38 Spl loads, use the +P data for the slower burning powders. H and IMR-4227 with cast bullets worked particularily well for me. I mostly shot lead wadcutters (single loaded, wouldn't feed from magazine) and lots of SWC .38's using rifle with 3x scope to test accuracy of loads intended for handguns.
A good cast SWC-HP bullet will work really well for up to small deer. For bigger deer I would recommend the Bulk Remington 158gr S.P. or 180gr HP with a .357 load.
If you don't handload, the Ga.Arms "DeerStopper" load is as good as it gets in a factory load. Mine chrono'd just under 2,000fps avg. with odd round or two going just at/over 2,000 with the batch given me by Curtis Shipley to "try" out in my .357's. At that time he was using a Sierra 158gr HP, I think he's using the 158gr Hornady XTP now.
That was the "duty" load I carried in my S&W 686 untill my agency switched to the G-22 and started issuing decent ammo. (Winchester 180 Ranger SXT).