I would have great concerns of putting 1,200 lbs of anything that far forward in a 37’ boat. At minimum it will certainly affect your sailing performance. However from the chart below it shows 5/16” G43 galvanized chain at 1.10 lb/ft. So for 275’ that works out to just over 300lbs plus the weight of the anchor.
What am I missing?
West Marine - Weight per foot
Our ground tackle in our 33’ Hunter consists of 200’ of 5/16” G43 chain and 250’ of 1/2” line with a 15kg Mansion Supreme anchor and Mantus bridle. I have anchored 100s of times over the past 12 years in the PNW up to Cape Caution and can only remember tying off on the anchor line twice. Both in Desolation Sound in forecasted +20kt winds and in an open anchorage. It will be rare that you have the luxury of letting out more than a scope of 5 to 1 in the crowded anchorages you will visit, unless in the off season. So 275’ of chain and a minimum of 300’ of stern tie will be more than sufficient to meet your anchoring needs in your PNW cruising grounds.