Two shipping method set up?

I have regular products, I want to have $2.00/shipping per product.
I have ticket products, I want to have $2.00/shipping regardless of the # of tickets they select.

How do I set this up?
I can get the first to work, but when I try to add a second shipping method, it is giving the user a choice. I don't want them to have a choice. I can't seem to figure out how to get the ticket method setup.

I tried this:
Standard Shipping Price = $0. Price per product =Yes Price set to $2.00
Ticket shipping Price = $2 Price per product = No

When I look at my ticket products, only Standard shipping is showing up on the right side so I can't seem to select Ticket shipping. I also don't want my customers to have to select the shipping method, I want this to be automatic.

I still have problems.

I set the one shipping method as shown in the attached.
I added the shipping for the products.

If I add a shipping amount for tickets then it adds shipping for each ticket.

If I add a global shipping to the shipping method, then it adds that even on products that have a product shipping.

I don't see a global vs product setting happening, it seems like it is adding them together no matter what.

I think I have it. I believe it was a setting in the global configuration set wrong.
I set Auto submit shipping and payment methods selection to No and it seems to work.