Jim,
Hopefully in the next week or so, I will get to finalize some testing I have been performing on various temperature monitoring methods. 2 weeks ago, I mounted my 2 K-type thermocouples in the oven and started the data logger. I have an 8" penetration probe as well as an ambient probe. I was very surprised to find that the penetration probe had serious lag between temperature change, as compared to the ambient probe. I am going to perform a more controlled test (when time permits) and add a couple different thermistor type probes found in the common oven thermos most talked about on this forum; I suspect that the thermistor types will display even more lag.
The only reason I mention this, is based on your question, yes you can just hang a penetration probe inside the chamber, but recognize that it wasn't designed for ambient readings and may not be precise.
In my testing, I am trying to find out what is "good enough" because the thermocouples and their corresponding hardware to connect them to the computer are expensive; about $200 for both probes and 2 USB readers. If thermistors can keep up, I can get them for $5 and an $80 I/O board can read 8 probes. You do the math.