No major corporation pays anywhere near 35%, and any corporation that does, medium or small is just plain stupid. It's too easy to beat.
What Trump needs to do is propose a reward program for corporations that "guarantee" to bring jobs back, create new jobs and don't downsize. These are the companies that get tax breaks. The ones that don't will receive no tax break, and I would actually propose raising the taxes on those companies.
Lets take and example of a company I love to hate. CAT. They need to be told, okay cocksukers, all those jobs you have shipped to China and Mexico, they need to come back. They come back, you get a little reward, even though you don't deserve it. They don't come back we're raising your taxes on all operations in this country, putting a HUGE tariff on all equipment imported for your overseas operation, AND putting a usage tax on any company that uses your equipment. CAT, assholes that they are, will probably say fine, we're pulling out completely. The response should be good, fuck you and good-bye. You'll never sell another piece of equipment here. Next you give huge tax breaks to the company that replaces them. They're building bulldozers for christ-sake. It ain't that hard to do. Plenty of companies that can step into that space.
Would this cause some inflation? Yes. Who gives a shit? Low rates, great mortgages, etc. are meaningless if you don't have a job. Again, it's all about how many are flush with cash. Create the jobs and the rest will take care of itself. To create jobs there must be demand for the product and/or service. That's a given with a huge infrastructure rebuild.