If the object of the exercise is to learn about ovens, etc. about any crystal will work.
If the purpose is to build a highly stable oscillator, be prepared to pay a significant sum of money for the crystal. Typical off-the-shelf crystals priced at a few dollars are not hermetically sealed nor are they assembled with the fanatical care required of a precision crystal. Over time, contaminants leak into the typical soldered crystal case and they also outgas from the contaminants of the crystal holder material, such as the insulating base.
A high quality time base crystal will be hermetically sealed, perhaps cold welded at the base and will be built with material that will not outgas onto the quartz plate. Or, more accurately, will not materially outgas such that the crystal ages out of tolerance before the specified period.
Heating a crystal increases the outgassing rate, by the way.
Perhaps it would be worth looking for a defective high quality oven oscillator module and salvage the crystal, assuming it's still functioning. If you are lucky, the problem is defective component other than the crystal and the crystal can be salvaged. If the oscillator still runs, but has drifted beyond the ability of the trimming function to bring it back into tolerance you might - emphasis on might - be able to use it in a slightly changed circuit and have it be on-frequency.