Hi, pigrew, I'm sorry I didn't see your replies. I'm really grateful for your input. Because I was completely oblivious to your post

, I ended up scavenging two wirewound inductors from an old graphics card. They didn't produce any appreciable amount of force even after I drove them with 6A, to my dismay!!
But now with your input this makes more sense. I want the unshielded ones, for sure! Thanks, again, for reporting your experimental findings!! This gives me extra confidence to get some varied parts to play around with and find what works best to me.
By the way, this is part of a project I'm working on, where I want to drive an array of about 1000 pneumatic solenoids in an array. I want it to be scalable and somewhat cheap, this is why I turned to something that is already mass manufactured.
Thanks for the help, pigrew!!!
I'll post updates once I get more stuff =)