Usually, when dealing with samurai tranny sloppy shifters, the problem is the locating bolt for the shifter (it is the bolt that threads into the rear of the shifter tower and the end of it sticks into a slot on the backside of the shifter).
I have never ran across a samurai tranny shifter that needed a tranny shifter sheet. But that's not saying they don't go bad occasionally.
You can check out the shifter sheet and the locating bolt by just pulling the shifter boot inside the cab and removing the shifter. You don't have to drop the tranny.
All samurai heads themselves are the same. The EFI heads have a block off plate where the carbed fuel pump goes. So of course they don't have a fuel pump on the head, nor do they have the carbed fuel pump rod in the head.
The carbed samurais have a cam with a cam lobe on them to run the cam driven fuel pump. I am not sure if the cam grinds are identical on carbed samurais vs. EFI samurais or not. If in doubt, simply swap the cams, if you end up swapping heads (you do need to swap the cam before you put the head on, since the cam comes out of the back of the head).
If you pressurize each cylinder with compressed air (the cylinder you are pressurizing has to be at TDC on its compression stroke, or all the cam bolts have to be backed off from the valves so all are closed), then you should be able to hear the air leak into the radiator, or if you have coolant/water in the radiator, you should see bubbles in it when you pressurize the cylinder that has the blown head gasket.
If the pressurized cylinders test doesn't give you a definite blown headgasket indication, then it could be possible that it is an intake gasket leak (the intake gasket seals bolt oil and coolant and if it would happen to start leaking between two of the passages, then coolant could mix with oil and/or oil could mix with coolant). But it is not real common for the intake gasket to start leaking like that.