The CL300 is the Super Mid to go with. Peformence is strong. It can leave 4,900ft and fly direct to Hawaii.
From the link for wiedehopf - Should answer your question.
First, you need to check your BOW, as the "advertised" max range is with full fuel and 4 pax-- BUT!! Most G200s will not carry 4 pax, luggage (say 400 pounds), and full fuel and be under MTOW... so check that first with your serial number.
Second, you will be able to go max range every day of the year from a sea level, 8000 ft strip-- as long as there are no climb restrictions off of that runway-- if there are not, then yes, you can go max range every single day of the year.
However-- keep in mind that this is about a 6 and a half to 7 hour airplane... yes it has been flown longer than that, but typically this is a max 7 hour airplane. So if your winds are strong one day, you will not make it the full 3150nm you are talking about.