All tape machines can be biased for a particular tape. Most of them require that a technician do the work.
BTW, if the machine is *not* set up for a particular tape, there is no point in auditioning the differences between tape, as the issues of highs and lows are usually also dealt with in the setup/bias procedure.
Shedding is a phenomena of all polyester-backed tapes. It can be reduced by storing them in a low humidity environment. If a tape does start to shed, it can be 'baked' for about an hour at about 120-150 degrees to chase the moisture out of the polyester. This will get rid of the shedding/sticking problem for months or years. OTOH some tapes can be so saturated with moisture that they will be too far gone. This baking procedure can be a bit of an art, BTW, but if done right can get a lot of older tapes back into service.
Have fun :)