Yes, or just get shorter cheeks. I have cob cheeks on an oversize bridle of 2 different brands but the length, width and buckles were the closest match.
If you want to test if the higher bit helps before ordering new cheeks or a new bridle, I think the idea of adding padding under the crown behind the ears to take up more space would work. Maybe even just an ear bonnet under the bridle would be a test to see if raising the bit higher in the mouth changes things.
@endlessclimb I’m so glad you posted that updated Annex. The last time I looked that Bomber UC lock up single joint snaffle was not on the list of unapproved bits. So now I need to find something similar with bar relief and “locking” for my young horse. I have a KK dynamic single joint that I’ll try him in again, but it may not have enough arch over the bars…
I’ve got a 4 year old that has never been a fan of the bit and is always itchy around the mouth and face who started sticking his tongue out as soon as we introduced the lightest contact. For the insecure + mouthy horse, I think tongue issues can become self-soothing, even after you fix the cause of the tongue issue. For my horse, we added a flash, getting him in front of the leg, doing an upwards transition when the head twisting starts (precursor to the tongue out), and ignoring the tongue if it is out. He does it now mostly at the walk with light contact when he’s either fixated on chomping the bit, mentally wearing out, or a little insecure about the environment.