The NCB 240 is overkill for your actual space heating load, but probably not for the domestic hot water load.
Burning almost continuously is what you WANT the thing to do for best efficiency and least wear & tear on the unit. The fact that it's burning continuously it means you have enough baseboard or radiator to not be short-cycling (=lots of burns per hour, less than 3 minutes each). It's fine to use thermostat setbacks whenever you're going to be away for 8 hours or more (but that rarely saves fuel if it would otherwise be modulating in condensing mode if left alone.) It does NOT need to "rest", ever.
But if it's not heating the house even though the burner is on continuously, the issue is most likely going to be either the programmed output temperature is not high enough, or you don't have enough radiation to emit enough heat at the maximum temperature of 180F. The 45' of fin-tube it should have enough baseboard to not short-cycle at 180F, but at condensing temperatures you'll have to time the burns and count them to see how it's doing.
At the beginning of the condensing zone (~135-140F out, average water temp 130F) the 45' of baseboard would only be emitting ~10-11,000 BTU/hr, while minimum fire at condensing temperatures it delivers ~17,000 BTU/hr into the system. You'd need on the order of at least 70' of baseboard to hit the low-90s for combustion efficiency without cycling at all, but as long as the burn cycles are long enough, with five or fewer burns per hour it's not a disaster. The NCB 240 definitely oversized for your radiation, it's only a matter of how much, so time & count the burn cycles.
Most houses will have enough radiation to stay warm even at 0F or lower with the boiler set to something less than 180F, but go ahead and bump it to the max until the indoor temperature is high enough, then start backing it off 5F at a time to see where it stops keeping up. With the outdoor reset option implemented you can set it up to do the temperature adjustments for you.
Most "well insulated" reasonably tight 2x4 framed 1300' houses with no foundation insulation would have a heat load of about 24-26,000 BTU/hr @ 0F, dropping to 17-19K once the band joist and foundation walls are insulated. So yes, the NCB 240 is ridiculously oversized for your actual heat load, and won't modulate much even if you have enough radiation to operated in condensing mode.
Below grade basements have low heat loads that don't change very much with outdoor temperature, unlike the above grade floors. For that reason they don't work well when operated as a single zone when combined with an upstairs zone. To get around that you could install a bypass branch on the basement radiation, and control the flow through the basement radiation with a zone valve operating off a separate basement thermostat. The basement would only get heat then the upstairs zone is calling for heat, but the separate thermstat, zone valve & bypass branch would keep the basement temperatures from overshooting. It's not perfect, but it's not bad. Once the foundation is insulated to the code-minimum R15 continuous insulation or better the basement will probably stay above 65F when the upstairs is 70F even
without adding basement zone radiation.
Insulating between the joists would knock off some of the heat load, and might be enough to allow your existing radiation to keep up (or not), but it's always better (= more effective, and lower energy use) to air-seal and insulate the foundation instead.
MassSave won't subsidize foundation wall insulation, but in MA there are
multiple vendors of reclaimed
rigid foam board that make
doing it as a DIY pretty cheap. MassSave WILL subsidized band joist & foundation sill insulation however. A couple or three inches of closed cell spray polyurethane would work. (2" of the more environmentally friendly HFO-blown foams would be R14. The high global warming potential HFC blown foams would be R12-R13 @ 2".)