Ive been in a similar position, but I tend to really like EBMM basses anyway.
Here is my view:
Get a Stingray 5 HS. Why HS? Well, it will satisfy your craving for single coils (you can solo the bridge and neck pup) but also give you the proper Musicman H tone (which I prefer over all other H basses). In addition, you get two extra tones of different pups combined.
I tried around 4-5 Lakland 5ers, and in the end the Ray 5 in the store totally won out. It was lighter, better construction, and just had that 'quality' feel to it. That is my opinion though, as many others love Lakland 5ers.
I then had to wait 3-4 months for my HS to be built.