Does anyone else ride invisible aero bars?

Of course, I don't really have any areo (tri) bars (visible or otherwise) on my LHT, but I do sometimes ride with my forearms resting on the tops of my handlebars. I can ride a few miles a time this way without causing any discomfort to my forearms. I only have to quit when I need to turn more than slightly or to brake. My handlebars are set about 1/2" below my saddle top, but that's as high as I can get them without replacing steerer tube (it was cut too short) or replacing the stem with a longer, steeper one. Other than the fact that I'm looking at a crash if something sudden and unexpected happens, I don't see any problem with this. I don't have any areo bars to hold onto, so I just hold one fist loosely in the other and it seems to work fine. Then again, if I'm going to do this much, I really should get some visible (real) areo bars before I have a bad crash.

Q. -- What combination of wide, flat-topped (ergo) road bars and areo bars would be most ideal for an LHT setup? My LHT was a birthday gift, so I didn't get a say in any of the componentry (not that I'm complaining, mind you), so the bike is not exactly how I would have built it if I had done it myself. I'm looking for a handlebar-aerobar combination which is meant for each other and suited to a large rider (6'3", 240 lbs) with broad shoulders and large hands.