Your status with other airlines means nothing to HA.
However, HA routinely offers everyone discounted upgrades to F during the check-in process, if space is available. You should go a little early and try to buy up.
I heard they used to allow people to buy up 24 hours in advance, but I don't think they do that anymore for non-elites. You might ring them up 24 hours before your flight and ask. The worst they can say is "no".
