NACE MR0175 covers H2S is sour gas service and has recommendations based on specific application and H2S partial pressure. Generally speaking, for carbon steel, the hardness must be below 22 HRC, the nickel must be below I think 2%, sulphur, and phosphorus should be essentially nil (as low as possible). Any free-machining grade is verboten. For pressure vessel service that may see elevated temp excursions, you'll need the carbon to be low to keep the steel from hardening and becoming susceptible to H2S embrittlement.
ASTM A516 Gr 70 is a good, low carbon, fine grain all around choice. ASTM 515 Gr 70 and ASTM A285 are also possibles too but A516 is generally stronger and has a finer grain which is good for toughness. A515 is coarser grained and that is good for high temp creep. All three are intended for pressure vessel service.
All of the above however have around .15 to .30 silicon in them though and I can't recall off the top of my head what the NACE MR0175 limits are for silicon, that might take them out of the running.