DVDate the plugin for Premiere (not to be confused with the free DVDate) can do this. It costs $20. R.J.Johnston a contributor here and over at Muvipix uses this in Premiere Elements.
There is also the free Timecode Frame Generator that can export an AVI that can be placed on the video track above the background video to give a time counter.
DVDate: mmmm, well, this one comes from Russia, which gives me immediate pause. No offense meant to our Commrades, but any monetary transactions involving folks in the former Soviet block is an automatic red flag, given the widespread ripoffs and fraud perpetuated on the world from that area of the globe. The price is now shown as 19.95 Euros, which translates to $29.13 on this vendor's site.
Jeez, does it take Russians to figure out how to create and market this when Adobe, a fine, upstanding American firm with massive resources and technical knowhow, can't or won't?
Anyway, I'll look at the other one suggested first. Thanks for the prompt reply and help.
Though it is not of direct help to you, I use both Premiere Pro and AfterEffects to do the same thing for remote editing. PrPro's TimeCode Effect is somewhat limited, as to the font, colors, etc., but AE's TimeCode is full featured.
I've got DVDate (no problems with the transaction - so far... ), but find that AE offers me the exact control that I want.