The grind gets a lot better. Once you get the equipment and skill to run Overkill-level missions, you'll be swimming in cash and XP (coughHoxtonBreakoutcough). When I hit 0-100, I was just sitting on $60M. So, yeah, that won't be a problem.
As for Shadow Raid, yeah, it can be frustrating. However, since you're new to the game, I imagine you don't have the ability to get down to 3 detection yet. Once your skills, perks, and weapons are able to get your detection down, you should have a much better time of it. Doesn't make bad spawns any less frustrating, though, even when running with your main crew.
Missions that are basically impossible w/o high-level talents: Shadow Raid and any long mission in stealth (you need the detection reduction), Big Oil (ECM Overdrive/Shaped Charge), Transport (the Saw). Higher-difficulty loud missions will be impossible without the Combined Tactical Vest.
Essential DLC:
Note: If you intend to play mainly with your friends, only one of you really needs to grab Big Bank and Hotline Miami, as only the host needs the DLC to get the mission. Anyone can join.