Web Contributions - Processing through Orders only?

When your constituents make contributions on your website, is your Tessitura set up to process these as ticket orders?

I am wondering if orders are the only option for processing web donations or if other organizations have found a way for this to be processed outside of orders? (We are not using TNEW or RAMP, though I don’t believe this would matter)

We want to be able to adjust web contributions without the restrictions caused by them living in ticket orders and are also considering having these contributions come in to Tess on account directly.

Thanks, all!

Andrea