As mentioned, AC 110s are great for mechanical filtration... Emp 400s work too...
I see a lot of people suggesting a sump with 2~5 times turnover flow is enough... I believe in most circumstances this would be sufficient for adequate Biological Filtration, but in my experience it is not enough for Mechanical Filtration.
Your Emp 400 actually moves roughly 300 gph... I am assuming your '350 gph wet dry' runs at 350 gph after taking head pressure into account...
This means you have an actual "turnover rate" 4.3 times per hour... Less if you did not take head pressure into account on the wet dry...
Therefore it does not surprise me at all that you are not impressed with the mechanical filtration of this tank...
Solutions...
Add additional HOBs... Add a high gph Canister... Increase the flow rate of your wet dry...
Adding Powerheads is an option, but with the small amount of Mechanical Filtration you have this would most likely result in a lot of small particles constantly suspended in your water which is generally an undesired effect...
I feel the Aqua Clear 110s are considerably better filters than the Emp 400, but you can read opinions on this comparison in many threads so no need to restart it here.
Another option is to construct an overflow that picks water up from the lower regions of the aquarium. To me, it seems silly not to. Below is a design I made up to reflect what I am planning to use...