I got a MUVI for about £35 just like this ...
click here. The 'sport kit' you need to buy on top for attaching it to your helmet will take you to your budget. I got that from
ebay a bit cheaper.
As for quality when uploaded to youtube, here its being dangled from the washing line while a woodpecker attacks a fat ball - even with all the shaking from the giddy woodpecker its pretty good ...
click here
and for distance quality, here it is attached to a kite and lofted 400ft up, with views into medium and far distance ...
click here
Not HD though.