Laser engraving with large deep bed

Hi I'm in the process of setting up a business selling wooden items that I've designed. The items will need branded and I want do this with a laser engraver. The problem I have is the size the items are 2,000mm long and up to 500mm wide and 100mm deep the area needing engraved is only 300x150mm.
As it is a new business I am looking to outsource the engraving initially and then purchase a machine later this year. Is there anyone in the Edinburgh area who has a bed size big enough to do the initial marking?
Also when purchasing can anyone recommend a low cost option?