I love the 1904 man. I got one off a '53 215 or 223 L6. They're super easy to rebuild, I've done like 4.
One thing to make sure is that yoy get the right length for the accelerator pump. Theres a long and short one, if you get the wrong one, it'll always hesitate or not work properly. Thats the piece on the passenger side that has a pushrod that comes out and a little cam hits in when you work the throttle.
2nd, you say there is no idle mixture screw? That's not good, it needs one. It should be on the base where it meets the engine intake. It will come up at an angle somwhere at the front i think.
Check that the choke is opening. These have mechanical chokes unless its a 1908, then it has a hot air choke. Or its some spooky rare 1904. A mechanical choke means yoy manually have to open and close it. If there is not a cable coming from the carb, and there isnt some buldging black thing at the back of it, then you're choke isn't being controlled by anything. NAPA sells a choke cable, or yoy can permanently set it at open and you just have to keep your foot on the gas when its cold to keep it from stalling.
Idle adjustment is at the back of the carb, it rides the cam connected to the choke. I used to have mine idle around 550. It was beautiful.
The guts of it are pretty simple, it has one big piece that acts like a brain box for the carb. Make sure it is all clean. There are a couple of check balls, they get stuck if they sit for a while. If they are, try to get them unstuck. Also, literally everything on this carb warps easily, so be careful. The brain box thing tends to warp from overtightneing and so does the bowl.
The brain box can be filed smooth and reseal with no problems. The bowl will take heating, a vice and some wood.
If you want a very detailed rebuild tutorial, Mikes Carburetors does a wonderful job of that. If you find the markjngs on the bowl, where the fuel line goes in, theres a flat area that says a number. That will tell you what it was intended for and what rebuild kit you'll need.
Good luck man!!