It's actually a Model 1899. Model designation changed to "99" in 1920. Mind you, a stiff hunting load with slow burning powder will sound like a cannon out of that short barrel. 'Tis a shame someone cut the barrel so short. One of the beauties of the old 1899's was their sweet balance, which this one has now surrendered.
Another good reason to stay shy of heavy loads in a gun that early was pointed out above. The square sharp-cornered bolt mortise in the receiver was really prone to cracking. Savage changed the design just a few years after yours was made to alleviate that problem, and swapped out receivers and bolts whenever early rifles came back for repairs. Even though it's not cracked now, shooting heavy loads could very easily cause it to happen.
I would select a heavy (180-190 grain) .30 cast bullet flat point or hollow point, cast soft and sized to fit the throat, and load it to 1600-1800 fps. Any white tail at "normal" woods close range will succumb to that poison.
Any of the older Lyman or Marbles tang sights are A-OK. The new ones are flimsier- and that is widely held by current 1899/99 users who have tried both. Don't worry about not having windage adjustment in the tang sight. It appears you have a dovetailed front sight which will allow you to make windage corrections when sighting in.