The issue is that the GXH50 engine can wind out to 7800 RPM. The CVT has a 3:1 gearbox (on some older models, there's a 4:1 gearbox) on the output. If you use a 12 tooth sprocket on the 3:1 output, and no freewheel, 'standard' (18:1 total) gear reduction would mean a 72 tooth rear sprocket on the axle, (which is a foot in diameter. ) This would push you along at about 33 MPH top end, with apx. 11 MPH maximum torque speed (5500 RPM with CVT at maximum reduction.)
So, it is
just doable.
If you get a staton rear hub and one of his 65 tooth thread-on freewheels (used with his new rear axle mount systems) with the above configuration otherwise, you would have a total reduction of 16.25:1, which would give you a top end of approximately 37 MPH. The max-torque speed would then be
about 12 MPH at 5500 RPM, with the CVT at it's maximum reduction.
Of course, Staton's hubs (inc. lacing them to a wheel) add quite a bit more cost than adding a jackshaft, but, they would also allow transferring (a few percent) more power to the rear wheel than inserting a jackshaft, and they are really, really rugged.
I would suggest that you download the
power calculator, to see how much power would be needed at the motor, for your weight, on a hill slope that approximates the steepest slope in your area. For a direct drive out from the gearbox, assume 90% efficiency best case, drop that to about 88% if a jackshaft turns out to be needed. As the belt wears, efficiency would drop some, so, you would probably want to actually use about 3-4% less than this.
Once you have an idea as to the maximum speed which you can attain with 2.5HP on "your" hills, you can then multiply that number by 3.5 (calculated from 2.25 CVT belt ratio change, multiplied by the top end RPM/max torque RPM) to get an idea as to your top-end speed, on the flat, with no wind.
Remember - a CVT is NOT a 'magic bullet' - you don't (can't) get ANYTHING for free! It
will give you better acceleration/better hill climbing ability, but, to do so, it adds some efficiency losses into the system, and as a result, it lowers the top end-speed that would otherwise be there (at the same gear ratio.)