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so sorry that I (or anyone else) was not able to get back to you sooner.

So - the time frame you give yourself may be a bit tight, but certainly your budget is. Rooms in Haiti are not cheap typically. When there are guest houses (such as in Port au Prince) they are often in areas that are not near any sights or main transit roads. So - you have to either give yourself a bit more time or spend more money.

Wish I could be more specific than that....

An example is in PaP you could stay at the Oloffson (a bit dumpy maybe, but with charm and history and a house band on Thursday), but the rooms are about $70 + a night. The advantage of this location is it is fairly close to the departure point for buses heading to Jacmel.
Other options not far are Le Marcelin Inn, Le Plaza - Google for contact info - I think they are cheaper.

Good luck!