I think ciscos' advise is a good one. Solid for a work horse inflatable for crusing.
If l would choose an inflatable, specially to be kept on the fore deck - not my idea of tender storage for different reasons - l would go for a hypalon one. True, it is expensive but it will last a life time on the Sun! The Sun will make the pvc ones disintegrate in a short time.
A tender stored up front increases your windage amazingly. If stored on the fore deck l would choose a solid one lashed down double strong. Towing it, most likely one is going to have it flipped over very soon. Seen it happen in a stink boats' wake.
Towing or deck storeing a tender is a no-no in my books. The 8-12 HP motor is heavy, you be strained to take it off, lift it off etc. every time you need it. The bigger the boat, the heavier it is. Much heavier. Davits would help.
On a 36 you got space to store it better than on a 28, like mine. I got a 2.4m inflatable for guests and cruising. For every day use, and to keep me fit, l got a a sit on kayak.
The inflatable is easy to roll up and send thorough the front hatch to be stored down below.
Some of us lost tenders by towing it.

Think it over, twice, it is going to be your only way off the boat if a Marina is not available, if you loose it........