But is your pool guy going to service it when it breaks?? Of course he’s happy to sell you one or advise you to buy one, but he’s not going to be on the hook to fix it when it doesn’t work. These HP are essentially HVAC units and if you don’t have someone in your area that’s knowledgeable and available for repair, you’re going to have a nightmare of a time trying to get it serviced. Call around to some HVAC service companies and see if they offer service on pool heat pumps. My guess is Company A is going to say “no” but they’d recommend contacting Company B. Company B will say “no” but they’re sure Company C does … and Company C wont answer the phone and will return your message 3 days later telling you that they’re too busy to service pools but they know the guy that owns Company A and they’ll totally help you out.
A heat pump will definitely work in your situations as you have a cover. You’ll just be running it all the time. So it’s not so much what will work but what will work best with the least number of headaches. Trenching up a yard sucks the life out your wallet ONCE. But once it’s done, it’s done and then you never have to pay for that again.