Well..
My arrangement isn't quite like yours but this may help.
I have used a Lay-Zee-Boy recliner for years with my computer. The recliner is about 6 inches from a table upon which sit my PC and a couple of screens. I edge kind of sideways into the chair then use a lever on the side to get into the reclining position - feet up and well under the table, backrest at about 30 degrees to the vertical - very restful. I can stay here for many, many, hours.
The key is a pastry rolling board. Its about 20" by 15", made of some sort od acrylic, is light and plenty big enough for a mouse and keyboard. This fits snugly on my lap between the chair's well padded armrests. (I use wireless mouse and keyboard).
I can use the mouse comfortably with my arm resting comfortably of the chair's arm - the position is good from the rsi point of view, naturally raised just above the mouse and all the weight spread along the length of my forearm, not concentrated on the wrist area.
Pens and pencils on the left of table in front of the screen. Drinks on a drink mat on the right of the table in front of the tower (floor too dirty for it). Wastebin on the floor to the left. Books magazines, games etc scattered on the floor to the right. Food in front not blocking the two screens.
Perfect