Get a cheap hotel room in Rhayader.
Liverpool House Hotel is fair...basic and cheap with bike parking at the rear..
Spend a couple of days exploring the Élan & Claerwan Valleys..
To much to see and do in a day..you need a weekend.
Luckily our group had good weather for two out of three days.
No finer place to be if the suns out.
Nice cafe just a few metres beyond Devils Bridge and the seafront diner on Aberystwyth seafront is now open again after a refurb..