species ID
I feel reasonably confident this is a late-instar Acanthocephala declivis nymph (that is, almost-but-not-quite-adult).
Compare your pictures with those on bugguide of a similarly-aged individual, or the bugguide ID page. Also see the key here; which gives three characters for declivis
Humeral angles of pronotum broadly expanded, extending laterally well beyond maximum lateral abdominal margin. Distal dilation of hind tibia broad until apex, then curving in at right angles to tibial shaft. Anterior pronotal lobe with 2 small shining blunt tubercles along midline
If you look at your pictures, you'll see that you're three for three here: the broad 'shoulders' (pronotum), the right-angle in the leg flange (dilated tibia) just above the the 'ankle', and the two rounded bumps on the pronotum (visible in photos 1 and 3).
original answer / working towards the ID
You're right on track, it definitely looks like a true bug (Hemiptera/Heteroptera). Possibly immature if it looks wingless. Maybe some kind of Assassin Bug (Reduviidae)? They don't all have burly forelimbs. You might also want to consider Coreidae, for instance the genus Leptoglossus (pdf on Leptoglossus in Georgia).
You could try this key to Florida bug families, it looks pretty user-friendly.