Couple of comments:
Using rigids will make the system conservative from a piping and nozzle standpoint, and if you're checking the reaction forces on the nozzles, they will be conservatively high.
Typically, I model my vessels, and they are anchored down.
If using ASME B31.3 or B31.8, they do not address eccentric reducers. You can, however, model it in CAESAR II if you give it the appropriate vertical displacement. For stress analysis purposes, I typically double the SIF, as that follows the practices of ASME VIII with respect to eccentric conic frustums.