I agree with Humakt, your force need only resemble what you're trying to represent; a mounted patrol is not going to be a proportional representation of the entirety of 'The Army' - it will just be a few men at arms and mounted archers. In like manner a wagon convoy is not going to be protected by men at arms, the PBI will get the job and probably those will be drawn from some leader's 'naughty list' of defaulters.
The historical bits since you asked for them though;
The Statute of Winchester of 1285 made it law that all free men holding land worth between £2-£5 in rent should own a bow; or crossbow if they lived in a forest. A Statute of Edward III (1363) 'The Archery Law' as it's commonly called, ordered practice butts to be erected and made it law for all free able-bodied men to practice on Sunday with their bows on pain of a fine. England was not short of archers, with or without the Welsh; there were actually more English Archers than there were Welsh Archers in raw numbers of population.
I can't think of any books off-hand for the revolt, my interests have always been much later in the 15th Century, but I imagine the English armies were little different to any of the Hundred Years War, with the exception that a 'Militia' was employed through commissions of array; a facet abandoned for continental wars for almost a century.
My take on the English is that;
The lords would have their professional retinues, of a rough proportion of one man at arms per two to three archers. 'Man at Arms' ranged from a minority of fully-armoured to a majority of part-armoured, men on horseback. The Archers would have had jacks as a minimum and were probably all mounted too. Any foot archers employed were likely manning the castle walls.
These forces would have been supplemented by a mixed bag of militia, who would also have formed the 'town militias'. Ostensibly the majority of these would be bowmen in accordance with the law, but probably also contained a fair number of men with other weapons (bills, glaives, spears) and a small minority of 'men at arms'. Their usefulness was debatable in a foreign war, but they were made of the same stuff as the majority of the Welsh rebels and were defending their homes too.