Well after a day of trying to get a good survey-in value, I've found that the lowest my StdDev goes is about 8.5m. Not great at all.
Curious if that's enough to get a somewhat-decent timepulse holdover. Guessing the reflections from the surrounding buildings are still making my fix less-than-great.
I've been rather preoccupied with a couple of projects, hence the late reply. I did give your problem some thought but felt I couldn't offer anything more useful than the obvious one of experimentation using your best positional fix estimate to set the M8T into overdetermined mode which I assume you've already tried by now.
Specialist GNSS timing/geodetic antennas can improve this situation but cost considerably more than a basic puck antenna. The expense being further compounded by the universal use of TNC connectors and 5/8 inch UNC threaded mounts (even more obscure than the 1/4 inch UNC tripod mount system common to cameras). A common feature with these timing/geodetic antennas is their ability to discriminate against unwanted reflections from "ground clutter" but in this case, it would seem your problem is more about "Sky Clutter" than ground clutter.
With your current (hopefully soon to be remedied) situation, such an antenna upgrade didn't seem appropriate, hence my silence on the subject. However, since there haven't been any other replies over the past couple of days (it seems longer than that), curiosity impels me to ask whether you've had enough time to experiment further with the M8T sufficiently to have some initial test results to report.
Also, of course, I've had time to consider how a timing receiver could overcome the effect of reflected signals when placed into overdetermined mode. If you're only interested in obtaining a stable frequency standard, absolute time accuracy doesn't matter just as long as the 'error' remains a fixed and constant one so setting the position to a 'best guess' value, even if it's tens of metres in error, to put the receiver into overdetermined mode is not necessarily going to be a bad option.
The real issue with unwanted reflections arises when the direct signal is totally blocked, leaving only the main reflected signal as the signal source (the most likely scenario in an urban canyon environment). I'm no expert on how timing receivers deal with such grossly delayed signals (think hundreds of nanoseconds!) but I should imagine the impossibility of a very early arrival of a single direct line of sight received signal being 'outvoted' by a bunch of very much delayed reflected signals would be processed correctly by the receiver's navigation computation engine when running in overdetermined mode.
You're not forced to fix the position by a "Survey in" operation, you're quite at liberty to manually fix the position to a best guess value, even if that turns out to be several metres (perhaps even tens of metres) adrift from the true position, so well worth giving this option a go.
Anyway, that's my "Two cent's worth".