Hiya,
When manually removing such spikes, I find it often gives best results to simply "interpolate" them. What I do (mind you: using Sound Forge, but I'm sure Audition will have something similar), is find a suitable spot from right before the spike(s), and then select precisely the spike(s) and find a suitable "healthy looking" end that lies at such a position, that the interpolation will not cause any high volume drop or peaks (i.e. it is not the best of ideas to put the start at e.g. -10 dB and the end at e.g. +8dB) in a very short time interval (it's a bit difficult to express what I mean exactly, but I hope you know what I mean).
Also, only do multiple spikes in one go if there is (virtually) no "valuable information" (i.e. proper audio sections) in between them, and if the total area is so short (in terms of time) that your patches will not be audible as silence (or as some form of noise).
When done like this, you will typically get very pleasing results, at the cost of having to spend quite some time on this if there are many such spikes.
Apart from this manual method, you can try looking for tools (filters, etc.) that can automatically get rid of clipping and/or specific noise. A good example is the "vinyl restoration filter" that can be used in Sound Forge (I think it is made by Sony too). Be careful to throughly check the end results though, as it is my experiences that they will often indeed get rid of the clipping, but in its stead it will sound like a high pitched "peep" in the spot where the spikes used to be. Definitely not what you want. Finally, yu may have to experiment quite somewhat with the proper setting for peak detection, in terms of peak volume and the amount of samples that triggers the software to recognise the peaks.
Cheerz,
MM