Seeking remedy for 4 year daughter with significant speech delay

I am hoping to find a remedy for my 4 year old daughter (4 years, 5 months old) who suffers from a speech delay. Here are her symptoms:
Omits endings from most words and has about 50% intelligible speech (she does receive speech therapy 2x/week).

Very emotionally sensitive, quick to tears, empathetic and very affectionate. Seems to have a very spiritual connection to most all animals (even will collect bugs, centipedes, spiders, even honey bees and let them crawl on her, calling them her 'friends' which she pronounces 'frems').

We are vegetarians although I permit the kids to eat fish and dairy. She generally prefers only very bland or very sweet foods and has very small appetite. Complete aversion to most protein-rich foods, especially eggs, which she has NEVER eaten and will not even consume if they are well-hidden within a meal such as in fried rice, custard or french toast).

From birth, experience extreme constipation with much pain, which has gone away naturally.

Was born 'in the waters' - water never broke, very quick labor and delivery, no birth trauma and no medications administered (was born at a midwife center, not hospital).

Speaks in a very loud, high pitched tone and speaks over others constantly, seemingly unaware of her surroundings.

Aversion to crowds, dark and being cold. Very intense child - emotions are either very high or very low. Very dramatic.

Very imaginative.

Normal, healthy appearance. Allergic to ammoxicillin as it produces rash. Also experiences bumps and splotchiness on skin when exposed to extreme heat and sun. Very tolerant of heat (prefers baths and showers much, much warmer than her older brother can tolerate). Relatively thin but poor muscle tone.

Very magnetic personality despite speech issues, no fear of communicating although has very poor eye contact. Outgoing, affectionate, loving. Gets very upset if friends or family leave without giving her a kiss and hug. Will kiss and hug inanimate objects as if they have feelings (candles, books, tv, stuffed animals, bookbag...)

Has been evaluated for autism but medical professionals have ruled that out.

I am becoming frustrated with the lack of progress after 2 years of speech therapy and a year of occupational therapy which was intended to address her ability to become very over stimulated and inability to attend to tasks. She is very intense and her speech is so loud and shrill that I feel horrible ever thinking, 'oh my... please be quiet!'.

I have recently experienced great results for my own medical issues by taking palladium and trust this process of homeopathy. Your recommendations are much appreciated.