There are still a few psychic types in your reach that aren't the ones you mentioned
However all of them will be obtained rather a little later in the game beginning from Mistralton City.
Besides all these psychic types I recommend one that has a dual role as a surfer and as a fast, powerful hitter with decent enough bulk. This little is often forgotten but the power that it wields is utterly stunning. No one else but Starmie. It is the fastest non-legendary psychic type that you will have access to in-game and it's movepool will bring tears of joy in your eyes. Like most Pokemon that require an evolution stone, it's learnset by level-up is much more appealing as a Staryu but the TMs that it gets surpasses both learnsets anyways. It can be caught as a Staryu at Route 13, Undella Town and Humilau City. It can also be caught fully evolved as a Starmie but this is rarer. For the fact that it gets access to really powerful electric and Ice type attacks as well it is a very appealing Pokemon to use even when facing Marlon and Drayden as well as being of great utility against Marshall and Iris
Another viable option is Metagross but unless you have Pokemon Dream Radar the only way you will be able to get one is by catching a Metang at the Giant Chasm which can only be accessed at nearly the end of the main story and I am not sure if you would like to have to wait for so long to get it. Anyhow if this isn't a problem for you I am pretty sure you know that Metagross is an extremely powerful psychic type Pokemon and one of the few that is rather physically based. With this it has access to powerful coverage moves such as Brick Break, Hammer Arm, Earthquake, Zen Headbutt, The Elemental Punches(Via Move-Tutors), Meteor Mash eventually Shadow Ball and Psychic. With this it can be a serious powerhouse in nearly any team and grant victory at the League relatively easy. Though it must be noted that it can be a little hard to train as it's movepool isn't that fabulous until it evolves into Metagross and then it is still limited to a few moves but if that doesn't bother you it is a nice psychic type to use
Last but not least I have found a psychic type that is exactly around your location but just not evolved yet. Eevee. I believe you play Pokemon usually during the day time and seeing as Eevee will evolve into Espeon at day, it is for now the fastest and one of the most powerful psychic types you will run into in-game. It has a formidable base special attack stat and it's movepool is incredible as it gets access to many, many powerful attacks including Shadow Ball. It can be caught in Castelia City. You just need to go to the sewers and climb on the first staircase you run into and there you will see grasspatches where you will be able to catch infinite Eevee and some other Pokemon. If you don't want to wait very long to get Starmie and you really want a psychic type right now....well soon enough, I would say Espeon is your best bet for it is really worth the time training it.
However if I must chose one to recommend to you, I would say Starmie is one of the best and funnest to raise psychic type Pokemon in the entire game