The only thing that becomes impractical is performing lifts where you would normally just drop the weights like the Clean and the Snatch. You either need to reverse the steps to set the bar down under some control or you need to perform other movements. Another option would be to invest in the bumper plates (bumper plates is the technical term for the kind of plates at your box).
Your barbell and metal plates don't have to be set down gingerly, but dropping a bar from over a yard or a meter in the air will likely bend your bar.
There's still a lot you can do. Crossfit gyms have a range of activities, but it seems that certain gyms have their favorites. It sounds like your box favored the Olympic lifts. Others favor powerlifting or strongman.
When working on your own, take stock of what you have and then choose a focus to push yourself towards:
- Powerlifting: primary lifts are squat, bench, deadlift
- Strongman: primary lifts would be overhead (push press), deadlift, front squat, loaded carries, etc.
- Bodybuilding: no primary lifts, but focus on getting a pump in your muscles.
With all three as a focus there's still room for metabolic conditioning (met-con), but you'll have to do barbell or dumbbell complexes that end with the bar close to the ground. Loaded carries are another form of metabolic conditioning.
I'm currently training in a style that is somewhere between powerlifting and strongman. I find benefit to both. Another resource for good programming choices and helping to find direction would be Juggernaut Training Systems. They have a good representation from all the strength sports.
