Can police manhandle you for refusing a Breathalyzer?

I do not know what you mean by manhandle. They should and do "escort" drunks for their own safety so they do not fall down, but hey should not injure you or push you around. I do ot think it is professional but no one is going to care id you complain. You can talk to Internal Affairs and make a complaint after the case is over to avoid problems and put them on notice in case this cop does this a lot and that might cause his superiors to warn him.

No but they can get a warrant for a blood test.

Generally not but I would need all of the information before rendering an opinion.

The police cannot lawfully manhandle you. If you have been lawfully arrested for DUI, you are subject to the implied consent law which requires you to provide a sample of your blood or breath. If you refuse to provide a sample of your blood or breath they will charge you with a refusal. The United States Supreme court has upheld the use of force to withdraw blood when arrested for DUI in a refusal situation. Obviously, being held down and having blood drawn by force could also be construed as being manhandled. You should consult with an attorney in your area, they will be able to shed light on some of the defenses that may be applicable to the facts of your case and the likely outcomes in court.

Don't know what you mean by "manhandle". You have provided me with absolutely no facts upon which to base an answer.

They're lying. You need to hire a DUI specialist, and do it soon because you have only 10 days to save your license.