Yeah working across a network isn't good, unless you have a decent server and or using vault... I am not much of a vault guy.
But I'd someone clicks on a file you are working on it will most likely crash you... also even working on your 'so-so' specd comp you would def have less problems... again set up a local work folder and dump your work into your network golden at EOD or figure out a protocol that works with you working on a local drive... btw if your comp doesn't have already (which it might not because I see it's a xeon/older comp), get an SSD and clone your drive and replace with ssd... that will help severely (along with local workflow)... thats what I did for my older comps to keep things moving with limited issues.
If you want to reduce frustration,, you should at least try some of these ideas or discus with your manager/IT what options can be exercised or changed to accommodate more stable Inventor environment. Even a Dedicated server, then maybe use vault? Good luck. I had to continually convince many employers to upgrade and operate differently, especially when they would ask why something isn't complete and I take them over to my or others comps and say sit and wait, then do the next click and sit and wait... let's say you do 1 click a second, that's 60 clicks per min... now try to do 1 click per 3mins (due to hang) and see how many days it will take to complete the same part. You would take 3 hours to do something that normally takes minute.