Quilt 350

If it’s in the south then a tarp would be awesome, I recommend getting a light silpoly tarp as it is easier to fiddle with compared to a dyneema flat tarp. Considering your backpacks that you listed I will assume that you are a beginner.  With that being said it is usually very difficult for a beginner to manage on a multi day outing with a 20 L pack. I recommend a 30 L ish pack. I think that a Palante V2 could fit your use case very well as it looks very good aswell. If you are in Sweden you can buy it from Fjallsport.  But yeah in general I would say, a light silpoly tarp, gearswifts mesh bivy and a palante v2. 

För quilt/sovsäck blir det rätt så svårt att nå 2000 kr gränsen. Men för liggunderlag kan jag starkt rekommendera yamatomichi ul15+ i 100 cm versionen. För mig hamna den på 700 kr inkl tull, moms + frakt från japan. Annars kan du hitta liggunderlag som exped flexmat eller thermarest z-lite från stora friluftsbutiker som NK eller outnorth. Gällande tarp säger jag ultralight solo tarp i 10 denier från   gramexpert (eu baserat).   Resterande pengar hade jag lagt i en quilt - förmodligen Cumulus neo quilt 150. Den kommer passa dina behov men lite dyr! Men det är nog omöjligt att få in allt i ryggan utan en sådan quilt. Men totalt blir det runt ~ 600-700 kr med ex ett thermarest z lite underlag som du har på utsidan av ryggan, 3400 kr för quilt, 850 kr för tarp. Du vill helst lägga till ett polycryo groundsheet som är billigt.  Tror inte att du kan få till en billigare och bättre lösning än detta. Samtidigt blir du extremt ultralätt :)

Hmmm, hade egentligen sagt Cumulus neoquilt 300 med comforttemp på 3 grader Celsius. Lite dyrare men det är så jäklaaaa värt det, och detta kommer från en fattiglapp. Annars har du ju Vilse som gör bland de finaste quiltarna på jordklotet. Men avsevärt dyrare.

I think you can cheap out on most pieces of gear, but for me the sleeping bag/quilt would be the one item I would spend some money on. I prefer a down quilt since it generally packs a little smaller and is more versatile in different temperature ranges. Down is expensive, but I hear good things about Decathlon's lightweight down bags. Otherwise I would recommend looking at Cumulus for a European produced quilt. For May-September in Europe I would recommend a comfort rating of about 0°C, which is what I use almost all year round. Make sure when you are buying the bag/quilt that you are actually looking for the comfort rating, and not the "sleep limit" or "minimal" rating or whatever. Regarding the sleeping pad I think you will be fine with a foam pad as long as you find a way to attach it to your bike. If you decide to invest in an inflatable pad I would recommend to look for something that's packable and has an R value of about 3.

I'm comfortable in my (Cumulus) quilt right down to the comfort temp they give in the same stuff I'd sleep in a bag except something on my head. I think it's more lack of standardization.

I recommend a quilt from Cumulus. I have one for bikepacking - I move a lot when I sleep (swapping between side/stomach/back), and quilt is the only way to go. Cumulus is great quality, made in the EU, fast delivery, small pack size.

Take a look at cumulus bags. They can do custom fill (up or down, “waterproof” different fabrics etc ) and custom sizing for it as well if you wish. Not cheap but personally I think they’re the best down bags on the market.