I'm glad you've made the 'connect' with King Peada.There was a 'debate on this subject' about the end of last year on this forum - so you can do a search under my name which should throw up other responses and may be of interest for you.
But, mate - I thought I'd taken out the patent on the Peada 'link' years ago: until I noticed that a bloke called John Pead (a bit of an authority on Pead lines) used the email title of Mercian!But...I reckon you'd be bloody lucky to find any definitive link to the venerable Peada; only a small number of folk can take their ancestry back to the Domesday book c.1085AD let alone the 600's!
Nevertheless - it is of interest that my branch of the family hails from Buckingham (before emigrating to Australia via London c1855)- which was within the ancient kingdom of Mercia; and it is interesting to note that the form of the name was around 1400 years ago.
I once found myself in Peterborough Cathedral, Northamptonshire and spotted the following inscription near the baptistry:
"Remember Peada: First Christian King of Mercia And founder of this cathedral".
The Venerable Bede refers to Peada in his "Ecclesiastical History of the Church in England" (written early 8th century) - but Peada was not the first king to convert to Christianity (can't recall who was offhand, possibly the King of Kent - but check out your copy of Bede's History).
Nevertheless, Mark, perhaps one can trace back that far - so don't let me discourage you and all power to your search mate!
By the way, seeing your from Suffolk Pead stock, you may be a descendant of Pead's bearing arms who lived at Shotesham Hall,Garboldisham, Norfolk in the 16-17th centuries. I have a ripper of a portrait I will send you 'off-forum' for the hell of it.