I think ive seen this is possible if using a fully upgraded account.
Can you have your ltd company registered and useing quickfile,
Have 2 or 3 invoice templates as follows:
Template 1: invoices clients from ltd company name with ltd company logo on the invoice.
Template 2: invoices specific clients from a Trading As name with a different logo on the invoice.
Template 3. Invoices new clients from a different Trading As name with different logo on the invoice?
An example would My Services Company Ltd.
I could invoice from My Services Company Ltd, or invoice clients from My Foods company - My Services Company Ltd Trading As My Foods Company.