I will not suggest accommodation but places worth visiting. Depending on the time and the car you have, you can navigate amazing routes. Apart from the route around the lake which is majestic (and even more so in April) and the classic route from Karditsa to the lake, there is also a route west which ends outside Mouzaki passing through the villages of Anthochori and Kriopigi. From there on the left there is the ascent to the mountain mass of Argithea with two routes. The left passes through the village of Pefkofyto and ends at the border of Karditsa / Evritania while the right while the right from the villages Drakotrypa & Oxia (outside them) goes up to the neck of Mount Tympanos (with amazing view of the mountain of Agrafa) and continues to the border of Karditsa / Arta. I would suggest these routes (to the villages of Argithea) only if you have a 4x4 ... Asphalt is everywhere but it is frosty this season.
From Mouzaki you can also go to the Gate of Trikala and from there to Pertouli where after Elati there is an amazing tavern that serves deer or wild boar.
Mileage distances (approximately):
Lake - Mouzaki 25km
Mouzaki - Drakotripa - Oxia - Mount Tymbanos 25 km
Mouzaki - Pefkofyto - Petrilo 25 km
Mouzaki - Gate - Pertouli 40 km
If you want you can pass by the village where I come from Mavrommati Karditsa (2km from Mouzaki) ...
If you are a fan of history you can to visit the cave where George Karaiskakis was born. Ask in the square in the cafes that exist they will tell you how to get there!