I moved the topic to the equipment forum.
I know many people that use the Bio-Wheel filter on planted tank. I suppose it would degas the water of CO2 a little bit but I don't think it would be material. If you have it, give it a try and see.
What most people recommend for filtration are canister filters. They are used underneath the aquarium and therefore keep a lot of the ugly equipment out of sight. They also provide plenty of space for mechanical and biological filtration.
In a heavily planted aquarium, I don't think you need biological filtration in the first place. However, it does provide a buffer for the fish if the heavily stocked with fish and the risk of ammonia or nitrite spike is high.
I've only used Fluvals and Eheims in the past. Fluvals are cheaper but are noising for my taste. Eheims are built extremely well and silent. Of course, the Eheims are imports so they are priced accordingly.
I currently combined my CO2 reactor with the biological filter. Please see the thread I posted in this forum that has more details about it.
If you spared no expense, you could purchase the ADA Lily Pipes for the intake and return to the canister filter as well as their stainless steel canister filter that will last a lifetime.