So are you actually running a dehumidifier in the *loft*? You may find that your loft isn’t actually that damp, dehumidifiers work on relative humidity, so if it’s at 90% humidity but 5 degrees, that will translate to much lower humidity at 20 degrees.
The drimaster will not help as it just pulls the air from the loft. Tho I suppose that will encourage infiltration via whatever mechanism already exists.
Can you install soffit vents? You can get retrofitted ones – you just drill a hole in the soffits and shove the vent in. Other than that the only other option is vent tiles as you’ve ruled out lap vents. Tho if you have sarking boards, what are they doing, given you’ve got a breathable membrane? Could you cut some out and and put lapvents in the membrane?