ALL tstats have a probe. You can mount the probe to the bottom if your set on not pulling it off a bit. Mount it just the same. I suggest aluminum foil tape. Remember to tape the wire behind the probe. Do not tape the probe bulb itself.
To clarify things. The probe reads temperature and reports it to the tstat which then varies the output of power to uth to give the desired temperature. Without a probe a tstat will not work.