Around here, true bluebird days usually occur "post-frontal" (otherwise the usual humidity is so high as to cancel out the "bluebird" effect). In other words, HOT weather and "bluebird skys" don't usually correlate (the conditions the OP describes don't usually go together). Maybe they do in some locales but not usually around here. Having said that, when it is a bluebird day (post frontal), I generally SLOW DOWN and do not try to force bass to chase (when they have no proclivity to do so). In other words, no crankbaits, no spinnerbaits or chatterbaits, no topwater. I use almost exclusively soft plastic (or jigs) and pick through cover as slowly as I can stand it.
On the other hand, on bright HOT days I believe bass are susceptible to regular feeding periods and "reaction" bites and that opens up the possibilities (bait choices and techniques) considerably. The limiting factor being primarily BRIGHT sunlight. The jury is still out for me as far as to WHY bass mostly avoid bright sunlight. Perhaps it is because it is irritating to their eyes OR because they would rather lurk in the dark and/or in edges where they can hide and grab unwary and unlucky prey. So, either the bass will be deeper water, in murkier water, or in shade provided by cover, vegetation, etc. OR when waves disrupt the penetration of sunlight. But in any event, There is a plethora of baits that will work in these conditions, assuming they are used appropriately.
Periodically, I witness fishermen who choose a bait or technique because it's what they WANT to do (or because it's what they saw on tv or the interenet the day before) rather than what conditions mandate. I've been guilty of this myself. Just not as often. Hopefully not as often.
This is a very long winded answer but the question begs and necessitates such an answer. There are always exceptions but they are just that-exceptions.