George,
I'm not answering your question, so I hope you will bear with me.
To me, EPS is more of a legacy encoding and I never use it for anything. As mentioned earlier, EPS tags are not respected when placing into Quark or InDesign; they're ignored (or perhaps unseen). If you set up all your Adobe Apps to use the same RGB and CMYK space, (ARGB and US Web Coated SWOP are good general defaults, especially when you don't know where the job is going, or if your service provider is clueless), you
should be fairly safe.
I usually have color management turned on in InDesign. If I know the exact destination press, and if they have a profile, or if I know they adhere to a standard, then I set those as the document defaults in the ID document. Then I place tagged PSD or TIFF files from photoshop, and tagged AI files from Illustrator. You cange change the color settings of any individual placed image from within ID, so you can change rendering intent, etc. Any elements created from within ID iteself will be in the document's default color space (ARGB or US Web Coated SWOP, in the above example). I usually package this and send the ID file and links to the service provider. IF I export to PDF, I use ID's Export command, Press Quality, and "leave color unchanged", assuming I have all my elements in ID set to the destination CMYK. Or, you can convert to the destination CMYK (such as US Web Coated SWOP) in the PDF export and include the profile. This will make sure all elements are in a single space. Works fine.
If you place an UNtagged file into ID, then ID will ASSIGN it's default profile. That's why it is good to have all your Adobe Color Settings synchronized and in the same color space.
If color management is OFF in ID, then whatever numbers are in your file will be sent to the RIP at the printer. Tags will be ignored on placed files. Then, the commercial printer will do whatever they normally do at their end (plate curves, etc).
Another option, is to convert to PDF and select a single destination color space, be NOT include tags. When your printer opens this un-color managed file, they won't know what the profiles are, so they will likely pass the numbers straight through their system, and you will get whatever the numbers are (based on their workflow).
I usually get to select my commercial printer, and only work with ones that know how to handle a color managed workflow. Our proofs are always very close, and the press sheet is usually very close as well.
I also agree with Peter, 350 TIL is a LOT of ink, and few presses and papers will do well with that much, though some can do it no problem. 300 TIL is usually plenty, and if you notice it anywhere it will be in the deepest blacks and shadows. The paper will have more influence than anything once you hit 300% ink. If you are working with a GOOD printer, who has a good sheetfed press that is properly maintained and set up, running good process control, and good coated stock, you can probably assume 320 to 330% total ink. But again, it will be noticeable mostly in the blacks and shadows.
Hope this helps and doesn't just frustrate you, since I side stepped your question a little bit.
Regards, Lou