I'm not sort what items to get that would have pickup as well though, shoulders are pretty much out the question as Vile Ward is so good in comparison, perhaps gloves if you can find the right ones though, I already miss having pickup!
You can still find vile ward shoulders with pickup radius on them for a decent price. That's what I did when i dropped pickup radius from my belt. It was only a few million more than it's non-pickup radius counterpart.
Gloves are definitely one of the worst places to get pickup on since they already have so many valuable stats like crit and attack speed that you'd rather use the stat budget on.
I am so much happier since getting +pickup on both belt and shoulders, definitely the two best slots to get it on. 13 radius is awesome. I don't recommend running with anything less if you even slightly care about gold drops. I know my OCD wouldn't let me just run by a stack of 5 gold so I went for the pickup radius to quell my raging mind. If I end up not needing run speed on my boots I may go for pickup there, too.