Whe,
The simplest and most conservative model is by energy balance using the inlet water flow rate and resulting in a single mixed (vapor and liquid) tank temperature. The steam condensed sets the make-up flow. The enthalpy of the make-up air can probably be ignored for simplicity, although as it will be heating up perhaps it could be credited to small advantage.
This approach will likely give a large vacuum breaking requirement for a your water flow, but direct contact heat transfer is very effective so if your tank is filled with steam (i.e. 212F, 14.7psia) you want to be certain that you do not underestimate- such a situation has collapsed much equipment. Even though you feel that there should be able to credit the fact that you are not "spraying" the water in, when it splashes against the floor and spreads out there will be plenty of surface area to condense your steam, and it is this initial condition which will set the vacuum breaking requirement.
As a fully steam filled tank may not be your situation, a more detailed description may result in alternative rationalizations- i.e. give us some more detail.
best wishes,
sshep