Here is the list of Epson Media Types ordered by ink loading (highest to lowest):
Velvet Fine Art Paper
Enhanced Matte Paper
Ultra Premium Presentation Paper Matte
Enhanced Matte Poster Board
Doubleweight Matte Paper
UltraSmooth Fine Art Paper
Proofing Paper White Semimatte
Proofing Paper Publication
Proofing Paper Commercial
Singleweight Matte Paper
Premium Luster Photo Paper (260)
Premium Glossy Photo Paper (250)
Premium Semigloss Photo Paper (250)
Premium Semimatte Photo Paper (260)
Premium Glossy Photo Paper (170)
Premium Semigloss Photo Paper (170)
Premium Photo Paper Glossy
Premium Photo Paper Semi-Gloss
Ultra Premium Photo Paper Luster
Photo Paper Gloss 250
Watercolor Paper Radiant White
Textured Fine Art Paper
Canvas
Presentation Paper Matte
Plain Paper
Enhanced Synthetic Paper
Enhanced Adhesive Synthetic Paper
Tracing paper
This list is actually provided by Epson; it is buried deep in the EPSON LFP Remote Panel 2 application. To see this list, launch the EPSON LFP Remote Panel 2 application, click on "Custom Paper Setup" (you must have paper loaded in the printer at this point), select your printer in the "Printer" field, select a name in the "Custom Name" field, then click "Details" to the right of the "Reference Media Type" field. You will get a window that looks like the attached image. If you read through the "Help" for Custom Paper Setup you will find that Epson states this list is ordered by ink density from highest to lowest. The Help for Custom Paper Setup also provides some very useful information in general for optimizing the printing environment for non-Epson papers.
In general you will find that matte papers get the highest ink loading, NOT PK papers as commented elsewhere. And my own testing has found that indeed Velvet Fine Art and Enhanced Matte get the highest ink loading.
After replacing the head in my 7900 last August I built new profiles with i1Profiler, but prior to building the profiles I did as you are contemplating and ran tests using the Onsight media testing image to optimize the Media Type choice for best DMAX, dot smoothness, color gamut, and shadow detail. For the matte papers I use (Canson Edition Etching and Canson Rag Photographique), I found that the Epson Hot Press Bright Media Type was actually the best. You will note that Hot Press Bright is not in the above list, I guess because Epson has not updated the Remote Panel 2 application since the latest papers have been released. But I found the HPB Media Type to give noticeably better dot smoothness on the Canson papers compared to their recommended Enhanced Matte media type. And of course Hot Press Bright IS an option in the driver when you are choosing the Media Type.
Dave