In reply to Gone for good:
I've been in Nepal the past few months and have just finished a little over half of the GHT - Taplejung/Kanchenjunga in the east to Kagbeni/Annapurna region (crossing the slightly technical high passes Sherpani Col, West Col, Tashi labsta and Tilman's pass) with a detour to Mera peak, and also a couple of add-on side trips. It was an amazing journey, and I can't wait to come back and do the western half at some point.
Which section are you thinking of doing in your 35 days?