I am pretty sure that OpenOffice supports hebrew, and it will run native on linux, So if you can’t get Davka to work that is another option for getting done whatever you need.
that would be libreoffice, nowadays. I suspect that davka can be configured to print to a printer or pdf. Why wouldn’t you be able to output the text at least to a postscript file? I don’t have davkawriter, so you will need to ask your local geek. If there is an issue, it is probably broadly across wine-running programs, not just davka so there may be a workaround online. That’s all I can say, Sorry.