Have you investigated the RX100III? The lens is a F1.8 Carl Zeiss Vario-Sonnar T* (24-70mm)? At around $900 Canadian and 522g it is smaller and lighter than the RX10 at around $1500 Canadian and 812g. Personally I know nothing about either camera and neither will solve the full frame loss. However it is more of a pocket camera and may suit your needs.
I could suggest an A7 series E mount cam with an LA-EA4 adapter to allow use of your existing lenses but the cost may be prohibitive at around Canadian $2000 +. It is small and is weather and dust sealed but your lenses are heavy and the adapter adds weight, but it is full frame.
Sony A7, A850, A77, A700 || Sony>> 70-300G, 28-75 f2.8 SAM, 16-80CZ, 50 f1.4, FE 28-70 OSS, FE 24-70CZ f4 OSS, LA-EA4 || Minolta>> 300 f4 G HS, 200 f2.8 G HS, 100 f2.8 (D) Macro, 50 f1.7, 28 f2.8, 28-135 f4-4.5, 70-210 f4, 500 f8 Reflex, TC x 1.4 HS, TC x 2 HS. || Sigma 21-35 f3.5-4.2. || Tamron SP 24-135.