I can obviously see I'm late to the discussion. The dry condition of the hoses should have been a good indicator of a leak from the beginning. My rule of thumb has always been to pour in coolant or just water in summer months, to find the leak responsible for the dry hoses first. Then start figuring out what needs to be replaced. However, I will add a tip here that you should not replace the short piece of connecting hose on the t-stat housing with ordinary hose. Try to save the original one if possible. It is made to weather the high temperature near the exhaust manifold there. Also, don't use screw clamps if at all possible. They will cut into the short hose and start a new leak.
Good points. Yes - that short hose can be difficult to seal. I suggest using silicone heater hose (NAPA sells it by the foot - 3/4" is the right size - expensive - something like $15/ft., but will last forever.
I also agree to
not using screw-type clamps. The factory spring-type clams are best because they clamp evenly all the way around, and will keep steady, moderate pressure around the hose even after the hose takes a compression set. Spring-type clamps don't compensate for hose compression set, which tempts people to overtighten the clamp, which risks hose wall cut-through. Lots of people do not like working with the factory spring-type clamps, but getting a decent cable-type spring clamp remove-install tool eliminates the problems (plan on spending $25-30 for a decent tool - cheaper ones are generally total crap).
The screw clamps are especially bad to use on silicone hose. Silicone hose walls are too soft and squishy - the rubber extrudes thru the screw thread slots. Silicone hose + spring-type clamps are the perfect combination.
It requires a hammer and a drift. "Stake" the edges of the housing ever so slightly over the thermostat edge in two or three places to prevent the t-stat from falling out when you are re-installing the housing.
The housing screws, (Bolts), will hold the gasket in place while getting it installed. Be sure and use a new gasket. The sealing edges on old ones will detach from the outer frame.
That works, but the technique I was thinking of involves temporarily placing a rod or long screw across the outboard end of the cover and looping a zip tie to span between the rod/screw and the thermostat to hold the thermostat in place while installing the cover, then cut the zip tie and remove it and the rod/screw.