Hmmm...
Is there anything to be said for the following tactics:
Don't let them bat, as you know that it'll be a draw - make them bowl for as long as possible and tire them out.
How soon is tea? If I bat up till tea, then we aren't likely to play beyond tea, and it will only give me another 5-10 overs, so not terribly exhausting.
Send them into bat for the last 20-25 overs and hope to dent their batsmen's confidence by getting a few cheeky wickets?
If my bowlers are up to it, we might get a couple of quick wickets, but the pitch is very flat and any good batting could be used as lifter for those batsmen. And we'll have a draw within a couple of overs of tea.
I think that option 2 is the better one. If you get those quick wickets on the flat track, it's very demoralizing after having watched the opposition hammer your bowling all over the ground... Of course, you do have to keep hold of your catches....