We did an outdoor set up for work at a wedding venue and we used the Benq projector http://www.benq.com.au/product/projector/w7500/ and a weatherproof housing to cool the darn projector from ProEnc.
It worked well and would work even better with the Optoma projector.
Good luck and wish you well.
Very few hotels distribute the received digital signals, so that there is the electronic program guide available along with HD pictures. Add an DVB-T SD modulator for local messages etc.
Many hotel systems convert to analog any digital signals including pay TV. The pictures are atrocious and there is no program guide available in the rooms or on the TV.
Are you distributing the 5 FTA signals from the antenna either on the original channels or converted to other RF channels?