I'm those exact measurements and was happy riding one of these: http://www.evanscycles.com/products/globe/roll-2-2012-single-speed-road-bike-ec020354#select XL (In stock too and at discount, within your budget).
Geo: http://www.specialized.com/us/en/bikes/archive/2011/roll/roll2#geometry
63cm C-T 61cm HT 20.04cm HT
@Sanddancer started
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I'm those exact measurements and was happy riding one of these: http://www.evanscycles.com/products/globe/roll-2-2012-single-speed-road-bike-ec020354#select XL (In stock too and at discount, within your budget).
Geo: http://www.specialized.com/us/en/bikes/archive/2011/roll/roll2#geometry
63cm C-T
61cm HT
20.04cm HT