My main concern is if the 3M tape would last?
In 5 years of supporting medical systems I've found all kinds of things stuck together with surgical tape. I've seen it used for tying cables together, holding equipment together (?!?), attaching cables to walls so that they can be run across ceilings to pendants and gantries, sticking notices up, rigging equipment up to xray tables, in some hospitals they even seem to think Micropore is able to be used for stuctural repairs...
Of course you can also tape ECG electrodes onto patients, tape eyes shut, tape all kinds of probes going into various bodily orifices etc. Generally that is only needed for <8hrs.
Seriously, the stuff holds well and I don't think you'll have any problems with it. It can leave a nasty residue though which you might need some alcohol to remove if ever you undue your mod.