FWIW, if it needs to be "easy", and cheap, I do think the OP is barking up the right trees.
I've even read of pro CI guys giving flagship Onkyo HTiBs the props.
I personally have found that even lesser Onkyo HTiBs have better speakers than some other popular brands. I think they're significantly better than Polk's entry level, for instance, though that really isn't saying much. IOW, you actually CAN do worse by cherry picking, if somewhat difficult to do. IMO.
Also, Onkyo destroys Panasonic HTiBs, of which I've heard a few. (my good friend works for Panasonic, and so many of his friends/family own their product). Onkyo over Pana every day of the week for HtIb.
I know with the Energy setup, batpig the Denon guru is a big fan, and finds this to be of exceptional value.
of course, again, everyone will still recommend stepping up if possible. but, those packages are around for a reason.
fwiw, I started this insanity with an HTiB. The initial taste drove me mad, as you can well see, and at least that half year gave me plenty of time to research before I opened my wallet up, and dumped everything in it out on the saleman's table.