I would still longarm it. Those curved strips and puckers will all look 'normal' once it is quilted and washed. If you are sure the colors won't bleed, I would throw it in the washer with HOT water after it is quilted and bound...then dry it in the dryer. I know--not what we are told to do. BUT, it will shrink it all up and it will look like an antique quilt AND hide a lot of the puckering! Don't use poly batting if you want this to work.....