Can I use the old 4 speed behind the 5.3?

[bh86]

I'm in the process of getting my old step side goin. This is a Budget build and just want a fun cruiser. I've done one LS swap in my 82 but I'm in the process of prepping it for paint etc and it's got a ways to go. So in the meantime I wanted to get this old beast rollin but the old I6 is pretty tired. I have the 305 out of my 82 which would be super quick and easy, but I've also got a 5.3 sitting on a motor stand. I've never seen anybody running the 4 speed stick behind one and I don't see why you couldn't but I wanted to ask before I assumed that it was fine. My reason for keeping it is simplicity and fun factor, I enjoy drivin an old stick around. Another reason I want to keep it is for the simple fact that I don't know how bad I want to have to do all of the work to put the auto in, such as find and swap a cross member, swap in a different column etc. It's not crazy hard stuff to do but it takes time and more money. So any thoughts or opinions would be appreciated. Thanks