How to present ongoing dissertation research and get feedback on a one-on-one basis?
People have a lot to read in academia as is. Sending out a document and asking for feedback is a strenuous exercise for all involved parties. You may want to take into consideration that some of your colleagues will also simply not want to willingly participate with their opinion.

Instead, a useful compromise is the use of a presentation. Prepare one whenever you see fit and advertise to your faculty by email what it is you're presenting, why you're presenting, and explain that you're specifically looking for feedback on 'X'; 'X' being the methodology applied, noticeable gaps in literature, etc.

In this manner, you practice your presentation skills, you take only 10 minutes or so of your colleagues' time, you strengthen relationships amongst your peers, and you're immediately available for questions. The benefits of this approach are many, and I think you'll be able to find even more than the ones I've just listed.

I hope that this was helpful to you.