Bluetack! Of course! Why didn't I think of that? Thanks S'mon!
I like the dungeon tiles, but they do require loads of pre-play set up to get what you want for your encounter. The big drawback I've had with them, is getting them placed on the table in a timely fasion. Using bluetack with the foamcore boards I have, means I can pre-set the tiles on the board to my satisfaction, pull them out and use them at the appropriate time, and then remove them after play for re-use. Much better than taking a chance of damaging the tiles with tape...
...Thanks again S'mon. It's the little pointers like yours that keep me reading these forumns.
You're very welcome

One thing I noticed is that with using blutack and stacking tiles you can get a sort of semi-3d effect, which may or may not be desirable. Could be very good if you want to indicate eg an elevated walkway or parapet.
Another thing - pre-sticking the tiles onto boards is great for tower levels, or dissociated encounter areas, but not so great for mapping a big sprawling dungeon. For that I'd think a simple battlemat/blank flipmat and marker pen approach is best; but boards can be pre-done for set-piece areas.
The key is not to get lured into trying to set up Dungeon Tiles from scratch at the table while players are waiting (perhaps to start a fight) - the benefit from better visuals is far outweighed by the loss of momentum from the stalled game.