I'm not sure if I'd consider Great Huts a "cheap" place anymore... their basic accomodations (some are shared, or at least have shared bathroom facilities) run $60-87US... the funky factor make this still an attractive price, but not really a great deal for the money tho when you can get something with private bath and hot and cold water for less
for anything "nice" at great huts (which I'd personally say MUST include private facilities) you'll pay more mid-range (upwards of 140US)... that's just me...
Great Huts is a unique place and I think the higher end rooms are a great deal still (if you are on the "adventurous" side, not really for someone who enjoys the comforts of home)
www.greathuts.com
a couple other Portland options that might be a little more "budget" oriented but not giving up on basic ammentities are
http://www.searchmeheart.com/
http://mikuzijamaica.com/
I'm sure there are others, those are just two that i thought looked okay...
Portland in general is known as one of the safest areas of the island, (of course something could happen anywhere), but at Great Huts keep in mind that some of the accomodations are tents and can't really be locked... they have a few big dogs tho :) I've never heard that Great Huts had an issue with security...
Yambia cottages look nice (www.yambia.com) but I know they were down for awhile after Dean, I can only assume that they are back up and running now as the website doesn't indicate that they are closed... I am reluctant to recommend them because I do recall hearing that at one time they had issues with security... maybe someone with good knowledge of the property can confirm that these issues have been addressed...
Chelle