this is the hard part about LNA design! If you go for minimum NF the input match can be difficult depending on where Sopt is. The way I like to handle this is by setting optimization goals in ADS and you an then let some computer algorithms try different values to meet your goals and you can try to compromise on both S11 and S21 to obtain reasonable values.
The use of feedback and device mapping. Device mapping entails seeking a value of load reflection coefficient or S22* and noting the modification of S11* thru device intrinsic feedback. This can modify the input to the extent that the S11 value for noise match coinsides with S11 for conjugate match. The S21 value is not altered. The tradeoff is the quality of the output return loss. And in an LNA, a secondary goal.