My first thought would be to start searching for, and trying some meat in mole preparations if you haven't already. I might look into Frontera grill or Sol De Mexico. I do make moles at home as well. I'm also a big fan of Fronteras hand with just about any of their dishes - apps or mains with SAUCES on them. I really think they come up with some flavorful sauces.
On the cheap, I also think that you might do VERY well at one of the better taquerias if you're ever far enough east to try them. Admittedly, however, I am not sure if there are any good ones in your area.
Carniceria Leon for an al pastor and carne asada taco, squeeze of lime, salsa, onion, cilantro on each. I'll bet - no, I absolutely KNOW, that there are some mouths watering reading this. Simple, but bursting with flavor.
I'm not talking about the crappy run of the mill taco joints that litter the Chicagoland area and that the drunk late nighters go to. There are a few (and VERY few indeed) taquerias that do food right. Leon is one of them. Char grilled skirt steak tacos. When done correctly, one of the best small food delights for the price that absolutely screams flavors if you ask me.
Carniceria Y Taqueria Tierra Caliente (Used to be Caniceria Leon - sorry)
1400 N Ashland
Chicago, IL
773-772-9804
For steak tacos, my all time favorite is:
Las Asadas
2072 N Western Ave
Chicago, IL 60647
(773) 235-5538
We cannot be friends if you do not know the difference between Mayo and Miracle Whip.