Sent rings to your parents' house this afternoon, Will.
The only advice I can offer on how much force it should take to push the pistons up the bore would be that it's just not very much... I mean, we're talking about a few lbs of pull before it should start moving.
Having more spring pressure just prevents compression/combustion gasses from leaking around the rings moreso than rings with less spring pressure.
The Honda rings are 2 thicknesses, the thinner ones are the "upper" ring, and the thicker ones are the "lower" ring. I'm not sure which ones (if any) would match the ring land, though.
If the large ones are still slightly too small, you might try stacking two small ones in the ring land instead? That would negate having to make the gapless rings altogether, since you could "clock" the gaps at 180* to each other. I'm sure that's just one of my hare-brained ideas, though.
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