I'm coming up with between $2,600 and $2,700 for a wholesale cost. $4,400 guy is selling you at retail. $2,200 guy is either a new guy going out on his own trying to get business, or someone who specializes in underbidding to get jobs because that's what works for him.
Best value is getting the most product for the least dollar. Compare the bids very thoroughly apples for apples. Try to evaluate their level of professionalism. How did the company perform so far on your bidding process? I generally talk to them and listen carefully to what they have to say.......and.........last....I look at a guys truck....is it well cared for, or a POS? That gives me clues.
Negotiate with a plumber? Well sure, if it's a good size job (like multiple projects....say 5-10 sink installs at a condo project), or you have a relationship with him. I don't think you have much to negotiate IMHO. Go ahead and do what you think is fair. What is the worst that can happen?
Oh, before I forget.....look at payment schedule. Don't let too much more money be given away compared to the amount of work that has been completed.