Are you trading one or more round lots? (The following assumes yes. Which seems like a reasonable assumption since you're seeing the bid change on at least one broker in response to your order.)
My personal opinion (my not be correct) as follows:
As far as I can tell, you're getting screwed by payment for order flow and cheating.
Here are the rules that sound like they may be being broken:
A) SEC regulation NMS, specifically the order protection rule
https://www.investopedia.com/terms/o/order-protection-rule.asp
B) SEC regulation NMS, NBBO requirement, that mandates the order by routed for the best price
https://www.investopedia.com/terms/n/nbbo.asp
I can imagine the firms being able to talk their way out brief divergences between you order and the best bid showing up in the market data, but I don't see how they can talk their way out of it being hidden for more than a few minutes. I know different exchanges can have different rules, but the SEC regulations require that those rules be implemented in such a way as to support the SEC requirements.
If you want the specific regs:
https://www.sec.gov/rules/final/34-51808.pdf
Quotes are from the summary section, it gets more detailed further in:
"The Order Protection Rule (Rule 611 under Regulation NMS) establishes intermarket protection against trade-throughs for all NMS stocks. A trade-through occurs when one trading center executes an order at a price that is inferior to the price of a protected quotation, often representing an investor limit order,displayed by another trading center."
"Moreover, a trading center is required to regularly surveil to ascertain the effectiveness of its policies and procedures and to take prompt action to remedy deficiencies."
"Finally, Rule 610 requires SROs to establish, maintain, and enforce written rules that, among other things, prohibit their members from engaging in a pattern or practice of displaying quotations that lock or cross the protected quotations of other trading centers."