My son Peter recently bought N8533R, in non-flying condition. While getting the engine overhauled, we took to doing the 'rest of the work'. This included removing all the lower landing gear.
The front gear 'squiriliness issue' caused us to spend some extra attention, so we looked at other Bellanca front gears, and as many pictures as possible. To our eye, it seems the front lower gear fork is manufactured with some 'trail', the axle being a little bit aft of the center of the leg. this seems to vary from plane to plane. Some have less, some have more.
I suppose it would be called 'Caster', too little and it won't tend to track straight ahead, too much and it will wooble like a bad caster on a grocery cart, set backwards it would be divergent? Peter owns a front end shop, and is aware of these things. It could be your front end geometry is a little towards the divergent end, instead of the wobble end?
What does yours look like? The gear is mounted to the engine mount, if it has been pushed up a little, like a hard landing on the nose? a slight deformation could change the rake of the front gear leg.
Did you call Alexandria LLC? We got landing gear springs and some seat rollers from them, and they were pretty helpful.
They have probably had some experience with this issue, maybe even with your plane.
Also check your log books for any reference to the gear. Accidents are usually never entered, only repairs and maintenance, so some interpretation is required.
Also, you mentioned putting high air pressure in the front tire. Did that help? did you try the normal pressure and also a low pressure? Was there any noticable difference?