Hi Jimmy and welcome to AFN!
I currently am only on my second grow so no advice on your upcoming grow. However, I do grow in a converted wine cabinet which is considerably smaller than your drobe with 224w of twisties.
Here are some things to think about:
-I believe you can make significant improvements but heat will always be something you have to watch. It comes with cabinet growing.
-The first thing I would do is make your intake larger because right now your cabinet is probably "unbalanced". (4" round exhaust = 12.5 sq inches, 3" square intake = 9 sq. inches.) My guess is that 4 inch sq intake (a lot of folks would say 4.5 inches) should improve the situation a bit, but not a total cure. Some folks say that 2 to 1 ratio between intake sand exhaust is the proper ratio
- If your door leaks you will cause temps to rise.
-Your grow will benefit from a reflector of some type to keep a higher percentage of the light in close proximity to the canopy.
-You may have a situation where your best bet is to locate the lights near your ceiling (heat source close to exhaust) and raise/lower your plants. Sounds strange but it may make sense.