Most if not all anti-psychotics will stop you from tripping, or at least reduce the intensity of the trip by a large amount, causing you to need several times more than you normally would - with could still present with all the side-effects of a similar dose, just with lessened positive effects.
Your only option to trip would really be dissociatives, rather than psychedelics, but those are not as benign as most psychedelics and carry the risk of addiction, along with certain other risks (delusions and mania with the more dopaminergic dissociatives, bladder/kidney damage with Ketamine, etc) - so I would not recommend those.
More importantly, you should consider the implications of tripping when there's a good reason for you to be on anti-psychotics in the first place. Mental illnesses and drugs don't combine very well, particularly drugs such as psychedelics with such an extreme impact on the mind.
It might help if you mention the specific anti-psychotic you're prescribed, as maybe there are some exceptions, anti-psychotics that do not block the effects of psychedelics? I wouldn't get your hopes up though.