Any strength program will work. 5x5, 5/3/1, or the myriad of others out there. Do some Google searching, or use the search box here. A lot of information out there.
If the program you like has overhead pressing and/or explosive lifts, just don't do them. You could add in something you would like to do instead-- be creative, but smart. It really doesn't matter, you'll get better with whatever you choose if you stick with it, I am sure. You can still use the programs and their basic principles even though you cannot use all of the exercises intended by the author.
Look into 5/3/1 by Jim Wendler, I think that would be an easy set up for you and a great book to read as well.