Machariel is one of the most used PvE ships in the game. So you will need also gallente race skills. Vargur is another reasonable Minmatar PvE ship, but I am afraid thats all…
Some players try to use Hurricane Navy Issue in low class WH, but I, personally, did not liked how it performed.
Most minmatar ships lack DPS in PvE. Cause missiles are better in caldari ships. Guns, working in falloff, are not that effective (good on paper, meh in virtual reality). Just because you can use some ship to do the job does not mean you should. ISK/hour ratio is important and you need damage for the higher ISK returns.
But if I get mission in low sec - I grab my HAM Loki and there is no alternative for “PvP ready PvE” ship IMHO. Cause 1400 EHP/s active cap stable tank, 30 km web, over 900 DPS and all this before any booster… Well, you will be ready if someone will try to ambush you in mission pocket