Sorry to hear this. Shin splints on Camino are common, usually males .. just inflamed muscles from over use .. it isn't a worry. RICE of course but the R - can you take a couple of days off? The I - frozen peas are cheap - not direct to skin though, layer in between. Gentle massaging, Voltaren gel .. light - light! - exercise for those two days ... watch the video below.
Whilst you are resting try this, today, now. Stand straight and relaxed, hands down by your sides. Focus your mind (don't look down) on the front of your legs ... now, without moving the rest of your body lean forward a little from the waist - you will feel all of the front of your legs (and knees) go into tension ... this is what happens when you put a heavy backpack on and lean forward instead of standing upright - put your pack on, lean forward and there you go! - you already have all that tension before you have even taken one step ..
So work on that, repacking, refitting pack to body, your stance .. and when you start walking again - take much shorter steps .. no, really, take shorter steps, stop over extending with long steps as it pivots the ankles too much, extends the feet too far, over-stretches the shin muscles - not good, walk shorter steps, in a relaxed way and slower, give those shin muscles a break - take it easy ... you are already thinking of a bike so you can "get going" and that is a good hint re getting shin splints, urgency .. so take a break, slow down, take much shorter steps - when you do start again go easy, shorter days, build up to it again ... all will be well.
And Hey! you are in Burgos - be a tourist, enjoy.
Note - when he is showing finger/thumb massage that is a good time to be applying the Voltaren (anti-inflammatory gel) - orange and white tube available in pharmacies